﻿<?xml version="1.0" encoding="utf-8"?><rss version="2.0"><channel><title>Mathematical Problems in Engineering</title><link>http://www.hindawi.com</link><description>The latest articles from Hindawi Publishing Corporation</description><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright><item><title>Performance Analysis of IEEE 802.11 DCF under Nonsaturation Condition</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/574197</link><description>Carrier sense multiple access with collision avoidance (CSMA/CA) methods are considered to be
attractive MAC protocols for wireless LANs. IEEE 802.11 distributed coordination function (DCF) is a random channel access scheme based on CSMA/CA method and the binary slotted exponential backoff procedure to reduce the packet collision. In this paper, we propose a new analytical model for a nonsaturated IEEE 802.11 DCF network and evaluate its performance. We verify our model using simulations and show that our results agree with the simulations.</description><Author>Yutae Lee, Min Young Chung, and Tae-Jin Lee</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Interlaced Costas Arrays Do Not Exist</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/456034</link><description>We prove that the only Costas arrays that can be constructed
by interlacing 2 Costas arrays of smaller orders (either equal or differing by 1) are those of order 2, and
that, consequently, no non-trivial Costas arrays result from this method.</description><Author>Konstantinos Drakakis, Rod Gow, and Scott Rickard</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Peak Ground Acceleration Prediction by Artificial Neural Networks for Northwestern Turkey</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/919420</link><description>Three different artificial neural network (ANN) methods, namely, feed-forward back-propagation (FFBP), radial basis function (RBF), and generalized regression neural networks (GRNNs) were applied to predict peak ground acceleration (PGA). Ninety five three-component records from 15 ground motions that occurred in Northwestern Turkey between 1999 and 2001 were used during the applications. The earthquake moment magnitude, hypocentral distance, focal depth, and site conditions were used as inputs to estimate PGA for vertical (U-D), east-west (E-W), and north-south (N-S) directions. The direction of the maximum PGA of the three components was also added to the input layer to obtain the maximum PGA. Testing stage results of three ANN methods indicated that the FFBPs were superior to the GRNN and the RBF for all directions. The PGA values obtained from the FFBP were modified by linear regression analysis. The results showed that these modifications increased the prediction performances.</description><Author>Kemal G&amp;#252;nayd&amp;#305;n and Ayten G&amp;#252;nayd&amp;#305;n</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Periodic Solutions of Semilinear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/183489</link><description>A class of semilinear impulsive periodic systems with time-varying generating operators
on Banach space is considered. Using impulsive periodic evolution operator given by us, the T0-periodic PC-mild
solution is introduced and suitable Poincar&amp;#233; operator is constructed. Showing the compactness of 
Poincar&amp;#233; operator
and using a new generalized Gronwall  inequality with mixed type integral operators given by us, we utilize 
Leray-Schauder fixed point theorem to prove the existence of T0-periodic PC-mild solutions. Our method is an innovation and it is much different from methods of other papers. At last, an example is given for demonstration.</description><Author>JinRong Wang, X. Xiang, and W. Wei</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Uncertainties in Nonlinear Structural Dynamics</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/538725</link><description /><Author>Jos&amp;#233; Manoel Balthazar, Paulo Batista Gon&amp;#231;alves, and Reyolando M. R. L. F. Brasil</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Experimental Active Vibration Control in  Truss Structures Considering Uncertainties in System Parameters</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/754951</link><description>This paper deals with the study of algorithms for robust active vibration control in flexible structures considering uncertainties in system parameters. It became an area of enormous interest, mainly due to the countless demands of optimal performance in mechanical systems as aircraft, aerospace, and automotive structures. An important and difficult problem for designing active vibration control is to get a representative dynamic model. Generally, this model can be obtained using finite element method (FEM) or an identification method using experimental data. Actuators and sensors may affect the dynamics properties of the structure, for instance, electromechanical coupling of piezoelectric material must be considered in FEM formulation for flexible and lightly damping structure. The nonlinearities and uncertainties involved in these structures make it a difficult task, mainly for complex structures as spatial truss structures. On the other hand, by using an identification method, it is possible to obtain the dynamic model represented through a state space realization considering this coupling. This paper proposes an experimental methodology for vibration control in a 3D truss structure using PZT wafer stacks and a robust control algorithm solved by linear matrix inequalities.</description><Author>Douglas Domingues Bueno, Clayton Rodrigo Marqui, Rodrigo Borges Santos, Camilo Mesquita Neto, and Vicente Lopes Jr.</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/325859</link><description>Generally, the greatest difficulty encountered when designing a fuzzy sliding mode controller (FSMC) or an adaptive fuzzy sliding mode controller (AFSMC) capable of rapidly and efficiently controlling complex and nonlinear systems is how to select the most appropriate initial values for the parameter vector. In this paper, we describe a method of stability analysis for a GA-based reference adaptive fuzzy sliding model controller capable of handling these types of problems for a nonlinear system. First, we approximate and describe an uncertain and nonlinear plant for the tracking of a reference trajectory via a fuzzy model incorporating fuzzy logic control rules. Next, the initial values of the consequent parameter vector are decided via a genetic algorithm. After this, an adaptive fuzzy sliding model controller, designed to simultaneously stabilize and control the system, is derived. The stability of the nonlinear system is ensured by the derivation of the stability criterion based upon Lyapunov&amp;#39;s direct method. Finally, an example, a numerical simulation, is provided to demonstrate the control methodology.</description><Author>P. C. Chen, C. W. Chen, and W. L. Chiang</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>On the Essential Instabilities Caused by Fractional-Order Transfer Functions</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/419046</link><description>The exact stability condition for certain class of
fractional-order (multivalued) transfer functions is presented.
Unlike the conventional case that the stability is directly studied
by investigating the poles of the transfer function, in the systems
under consideration, the branch points must also come into
account as another kind of singularities. It is shown that a
multivalued transfer function can behave unstably because of
the numerator term while it has no unstable poles. So, in this
case, not only the characteristic equation but the numerator
term is of significant importance. In this manner, a family of
unstable fractional-order transfer functions is introduced which
exhibit essential instabilities, that is, those which cannot be
removed by feedback. Two illustrative examples are presented;
the transfer function of which has no unstable poles but the
instability occurred because of the unstable branch points of
the numerator term. The effect of unstable branch points is
studied and simulations are presented.</description><Author>Farshad Merrikh-Bayat and Masoud Karimi-Ghartemani</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>A Mathematical Tool for Inference in Logistic Regression with Small-Sized Data Sets: A Practical Application on ISW-Ridge Relationships</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/186372</link><description>The general approach to modeling binary data for the purpose of estimating the
propagation of an internal solitary wave (ISW) is based on the maximum likelihood
estimate (MLE) method. In cases where the number of observations in the data is small,
any inferences made based on the asymptotic distribution of changes in the deviance may be unreliable for binary data (the
model&amp;#x00027;s lack of fit is described in terms of a quantity known as the deviance). The
deviance for the binary data is given by D. Collett (2003). may be unreliable for binary data.
Logistic regression shows that the P-values for the likelihood ratio test and the score
test are both &amp;#x0003C;0.05. However, the null hypothesis is not rejected in the Wald test. The
seeming discrepancies in P-values obtained between the Wald test and the other two tests
are a sign that the large-sample approximation is not stable. We find that the parameters
and the odds ratio estimates obtained via conditional exact logistic regression are
different from those obtained via unconditional asymptotic logistic regression. Using
exact results is a good idea when the sample size is small and the approximate P-values
are &amp;#x0003C;0.10. Thus in this study exact analysis is more appropriate.</description><Author>Tsung-Hao Chen, Chen-Yuan Chen, Hsien-Chueh Peter Yang, and Cheng-Wu Chen</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>On Nonperturbative Techniques for Thermal  Radiation Effect on Natural Convection past  a Vertical Plate Embedded in a Saturated Porous Medium</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/689074</link><description>In this article, the heat transfer characteristics of natural convection about a vertical permeable flat surface embedded in a saturated porous medium are studied by taking into account the thermal radiation effect. The plate is assumed to have a power-law temperature distribution. Similarity variables are employed in order to transform the governing partial differential equations into a nonlinear ordinary differential equation. Both Adomian decomposition method (ADM) and He&amp;#39;s variational iteration method (VIM) coupled with Pad&amp;#233; approximation technique are implemented to solve the reduced system. Comparisons with previously published works are performed, and excellent agreement between the results is obtained.</description><Author>O. D. Makinde and R. J. Moitsheki</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Combined Preorder and Postorder Traversal Algorithm for the Analysis of Singular Systems by Haar Wavelets</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/323080</link><description>An efficient computational method is presented for state space analysis of singular systems via Haar wavelets. Singular systems are those in which dynamics are governed by a combination of algebraic and differential equations. The corresponding differential-algebraic matrix equation is converted to a generalized Sylvester matrix equation by using Haar wavelet basis. First, an explicit expression for the inverse of the Haar matrix is presented. Then, using it, we propose a combined preorder and postorder traversal algorithm to solve the generalized Sylvester matrix equation. Finally, the efficiency of the proposed method is discussed by a numerical example.</description><Author>Beom-Soo Kim, Il-Joo Shim, Myo-Taeg Lim, and Young-Joong Kim</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Complete Solutions to Extended Stokes&amp;#39; Problems</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/754262</link><description>The main object of the present study is to theoretically solve the viscous flow of either a finite or infinite depth, which is driven by moving plane(s). Such a viscous flow is usually named as Stokes&amp;#x00027; first or second problems, which indicates the fluid motion driven by the impulsive or oscillating motion of the boundary, respectively. Traditional Stokes&amp;#x00027; problems are firstly revisited, and three extended problems are subsequently examined. Using some mathematical techniques and integral transforms, complete solutions which can exactly capture the flow characteristics at any time are derived. The corresponding steady-state and transient solutions are readily determined on the basis of complete solutions. Current results have wide applications in academic researches and are of significance for future studies taking more boundary conditions and non-Newtonian fluids into account.</description><Author>Chi-Min Liu</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Some Exact  Solutions of Boundary  Layer  Flows along a Vertical Plate with  Buoyancy Forces Combined  with  Lorentz  Forces under Uniform Suction</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/149272</link><description>Exact analytical solutions of boundary layer flows along a vertical porous plate with uniform suction are derived and presented in this paper. The solutions concern the Blasius, Sakiadis, and Blasius-Sakiadis flows with buoyancy forces combined with either MHD Lorentz or EMHD Lorentz forces. In addition, some exact solutions are presented specifically for water in the temperature range of 0C&amp;#x2218;&amp;#x2264;T&amp;#x2264;8C&amp;#x2218;, where water density is nearly parabolic. Except for their use as benchmarking means for testing the numerical solution of the Navier-Stokes equations, the presented exact solutions with 
EMHD forces have use in flow separation control in aeronautics and hydronautics, whereas the MHD results have applications in process metallurgy and fusion technology. These analytical solutions are valid for flows with strong suction.</description><Author>Asterios Pantokratoras</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Venturi Wet Gas Flow Modeling Based on Homogeneous and Separated Flow Theory</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/807287</link><description>When Venturi meters are used in wet gas, the measured differential pressure is higher than it would be in gas phases flowing alone. This phenomenon is called over-reading. Eight famous over-reading correlations have been studied by many researchers under low- and high-pressure conditions, the conclusion is separated flow model and homogeneous flow model performing well  both under high and low pressures. In this study, a new metering method is presented based on  homogeneous and separated flow theory; the acceleration pressure drop and the friction pressure drop of Venturi under two-phase flow conditions are considered in new correlation, and its validity is verified through experiment. For low pressure, a new test program has been implemented in Tianjin University&amp;#x2019;s low-pressure wet gas loop. For high pressure, the National Engineering Laboratory offered their reports on the web, so the coefficients of the new proposed correlation are fitted with all independent data both under high and low pressures. Finally, the applicability and errors of new correlation are analyzed.</description><Author>Fang Lide, Zhang Tao, and Xu Ying</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Resolution of First- and Second-Order Linear Differential Equations with Periodic Inputs by a Computer Algebra System</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/654820</link><description>In signal processing, a pulse means a rapid change in the amplitude
of a signal from a baseline value to a higher or lower value, followed by a
rapid return to the baseline value. A square wave function may be viewed
as a pulse that repeats its occurrence periodically but the return to the
baseline value takes some time to happen. When these periodic functions
act as inputs in dynamic systems, the standard tool commonly used to
solve the associated initial value problem (IVP) is Laplace transform and
its inverse. We show how a computer algebra system may
also provide the solution of these IVP straight forwardly by adequately
introducing the periodic input.</description><Author>M. Legua, I. Morales, and L. M. S&amp;#225;nchez Ruiz</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>A First-Order Analytical Theory for Optimal Low-Thrust Limited-Power Transfers between Arbitrary Elliptical Coplanar Orbits</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/525930</link><description>A complete first-order analytical solution, which includes the short periodic terms, for the problem of optimal low-thrust limited-power transfers between arbitrary elliptic coplanar orbits in a Newtonian central gravity field is obtained through canonical transformation theory. The optimization problem is formulated as a Mayer problem of optimal control theory with Cartesian elements&amp;#8212;position and velocity vectors&amp;#8212;as state variables. After applying the Pontryagin maximum principle and determining the maximum Hamiltonian, classical orbital elements are introduced through a Mathieu transformation. The short periodic terms are then eliminated from the maximum Hamiltonian through an infinitesimal canonical transformation built through Hori method. Closed-form analytical solutions are obtained for the average canonical system by solving the Hamilton-Jacobi equation through separation of variables technique. For transfers between close orbits a simplified solution is straightforwardly derived by linearizing the new Hamiltonian and the generating function obtained through Hori method.</description><Author>Sandro da Silva Fernandes and Francisco das Chagas Carvalho</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Application of He&amp;#39;s Variational Iteration Method to Solve Semidifferential Equations of nth Order</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/627983</link><description>He&amp;#39;s variational iteration method is applied to solve nth order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions, or perturbation theory. Some examples are given to illustrate the effectiveness of the method; the results show that He&amp;#39;s method provides a straightforward and powerful mathematical tool for solving various semidifferential equations of the nth order.</description><Author>Asghar Ghorbani and Abdolsaeed Alavi</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Intelligent Control of the Complex Technology Process Based on Adaptive Pattern Clustering and Feature Map</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/783278</link><description>A kind of fuzzy neural networks (FNNs) based on adaptive pattern clustering and feature map (APCFM) is proposed to improve the property of the large delay and time varying of the sintering process. By using the density clustering and learning vector quantization (LVQ), the sintering process is divided automatically into subclasses which have similar clustering center and labeled fitting number. Then these labeled subclass samples are 
                  taken into fuzzy neural network (FNN) to be trained; this network is used 
                  to solve the prediction problem of the burning through point (BTP). Using the 707 groups of actual training process data and the FNN to train APCFM algorithm, experiments prove that the system 
                  has stronger robustness and wide generality in clustering analysis and feature extraction.</description><Author>Wushan Cheng</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>On the Discrete Harmonic Wavelet Transform</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/687318</link><description>The discrete harmonic wavelet transform has been reviewed
and applied towards given functions. The absolute error of reconstruction
of the functions has been computed.</description><Author>Carlo Cattani and Aleksey Kudreyko</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Shannon Wavelets Theory</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/164808</link><description>Shannon wavelets are studied together with their differential properties (known as connection
coefficients). It is shown that the Shannon sampling theorem can be considered in a more general
approach suitable for analyzing functions ranging in multifrequency bands. This generalization
coincides with the Shannon wavelet reconstruction of L2(&amp;#x211D;) functions. The differential properties
of Shannon wavelets are also studied through the connection coefficients. It is shown that Shannon
wavelets are C&amp;#x221E;-functions and their any order derivatives can be analytically defined by some kind of
a finite hypergeometric series. These coefficients make it possible to define the wavelet reconstruction
of the derivatives of the C&amp;#x2113;-functions.</description><Author>Carlo Cattani</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Tool Wear Detection Based on Duffing-Holmes Oscillator</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/510406</link><description>The cutting sound in the audible range includes plenty of tool wear information. The 
                  sound is sampled by the acoustic emission (AE) sensor as a short-time sequence, then worn wear
                   can be detected by the Duffing-Holmes oscillator. A novel engineering method is proposed for 
                   determining the chaotic threshold of the Duffing-Holmes oscillator. First, a rough threshold value 
                   is calculated by local Lyapunov exponents with a step size 0.1. Second, the exact threshold value
                    is calculated by the Duffing-Holmes system in terms of the law of the golden section. The advantage 
                    of the method is low computation cost. The feasibility for tool condition detection is demonstrated
                     by the 27 kinds of cutting conditions with sharp tool and worn tool in turning experiments. The 54 
                     group data sampled as noisy are embedded into the Duffing-Holmes oscillator, 
                     respectively. Finally, one chaotic threshold is determined conveniently which can distinguish
                      between worn tool or sharp tool.</description><Author>Wanqing Song, Shen Deng, Jianguo Yang, and Qiang Cheng</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Explicit Solution of the Inverse Eigenvalue  Problem of Real Symmetric
                         Matrices and Its   Application to Electrical Network Synthesis</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/513582</link><description>A novel procedure for explicit construction of the entries of real symmetric matrices with assigned spectrum 
and the entries of the corresponding orthogonal modal matrices is presented. The inverse 
eigenvalue problem of symmetric matrices with some specific sign patterns (including hyperdominant one) is 
explicitly solved too. It has been shown to arise thereof a possibility of straightforward solving the inverse 
eigenvalue problem of symmetric hyperdominant matrices with assigned nonnegative spectrum. The results
 obtained are applied thereafter in synthesis of driving-point immittance functions of 
 transformerless, common-ground, two-element-kind RLC networks and in generation of their 
 equivalent realizations.</description><Author>D. B. Kandi&amp;#263; and B. D. Reljin</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Stabilization of Linear Sampled-Data Systems by  a Time-Delay Feedback Control</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/270518</link><description>We consider one-dimensional, time-invariant sampled-data linear
systems with constant feedback gain, an arbitrary fixed time delay, which
is a multiple of the sampling period and a zero-order hold for reconstructing
the sampled signal of the system in the feedback control. We obtain
sufficient conditions on the coefficients of the characteristic polynomial associated
with the system. We get these conditions by finding both lower
and upper bounds on the coefficients. These conditions let us give both an
estimation of the maximum value of the sampling period and an interval
on the controller gain that guarantees the stabilization of the system.</description><Author>F. Ricardo Garc&amp;#237;a, Baltazar Aguirre, and Rodolfo Su&amp;#225;rez</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Transient Heat Diffusion with Temperature-Dependent Conductivity 
                        and Time-Dependent Heat Transfer Coefficient</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/347568</link><description>Lie point symmetry analysis is performed for an unsteady nonlinear heat
diffusion problem modeling thermal energy storage in a medium with a
temperature-dependent power law thermal conductivity and subjected to a
convective heat transfer to the surrounding environment at the boundary
through a variable heat transfer coefficient. Large symmetry groups are admitted
even for special choices of the constants appearing in the governing
equation. We construct one-dimensional optimal systems for the admitted
Lie algebras. Following symmetry reductions, we construct invariant solutions.</description><Author>Raseelo J. Moitsheki</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Weak Solutions in Elasticity of Dipolar Porous Materials</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/158908</link><description>The main aim of our study is to use some general results from the general theory
of elliptic equations in order to obtain some qualitative results in a concrete
and very applicative situation. In fact, we will prove the existence and uniqueness
of the generalized solutions for the boundary value problems in elasticity of initially
stressed bodies with voids (porous materials).</description><Author>Marin Marin</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Guaranteed Performance Robust Kalman Filter  for Continuous-Time
                         Markovian Jump Nonlinear System with Uncertain Noise</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/583947</link><description>Robust Kalman filtering design for continuous-time Markovian jump nonlinear systems 
                  with uncertain
noise was investigated. Because of complexity of Markovian jump systems, the statistical characteristics of 
system noise and observation noise are time-varying or unmeasurable instead of being stationary. In view of
 robust estimation, maximum admissible upper bound of the uncertainty to noise covariance matrix was given
  based on system state estimation performance. As long as the noise uncertainty is limited within this bound via 
  noise control, the Kalman filter has robustness against noise uncertainty, and stability of dynamic systems can
   be
ensured. It is proved by game theory that this design is a robust mini-max filter. A numerical example shows 
the validity of this design.</description><Author>Jin Zhu, Junhong Park, Kwan-Soo Lee, and Maksym Spiryagin</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>An Anisotropic Constitutive Equation for the Stress Tensor of Blood Based 
                        on Mixture Theory</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/579172</link><description>Based on ideas proposed by Massoudi and Rajagopal (M-R), we develop a model for blood 
                  using the theory of interacting continua, that is, the mixture theory. We first provide a brief review
                   of mixture theory, and then discuss certain issues in constitutive modeling of a two-component 
                   mixture. In the present formulation, we ignore the biochemistry of blood and assume that blood is 
                   composed of red blood cells (RBCs) suspended in plasma, where the plasma behaves as a linearly
                    viscous fluid and the RBCs are modeled as an anisotropic nonlinear density-gradient-type fluid. We
                     obtain a constitutive relation for blood, based on the simplified constitutive relations derived for 
                     plasma and RBCs. A simple shear flow is discussed, and an exact solution is obtained for a very
                      special case; for more general cases, it is necessary to solve the nonlinear coupled equations 
                      numerically.</description><Author>Mehrdad Massoudi and James F. Antaki</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Model Validation Using Coordinate Distance with Performance Sensitivity</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/298146</link><description>This paper presents an innovative approach to model validation for a structure with significant parameter variations. Model uncertainty of the structural dynamics is quantified with the use of a singular value decomposition technique to extract the principal components of parameter change, and an interval model is generated to represent the system with parameter uncertainty. The coordinate vector, corresponding to the identified principal directions, of the validation system is computed. The coordinate distance between the validation system and the identified interval model is used as a metric for model validation. A beam structure with an attached subsystem, which has significant parameter uncertainty, is used to demonstrate the proposed approach.</description><Author>Jiann-Shiun Lew</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>A Simple Cocyclic Jacket Matrices</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/132674</link><description>We present a new class of cocyclic Jacket matrices over complex number field with
                   any size. We also construct cocyclic Jacket matrices over the finite field. Such kind of matrices has 
                   close relation with unitary matrices which are a first hand tool in solving many problems in 
                   mathematical and theoretical physics. Based on the analysis of the relation between cocyclic 
                   Jacket matrices and unitary matrices, the common method for factorizing these two kinds of 
                   matrices is presented.</description><Author>Moon Ho Lee, Gui-Liang Feng, and Zhu Chen</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item><item><title>Comparative Vibration Analysis of  a Parametrically 
                        Nonlinear Excited Oscillator  Using HPM and 
                        Numerical Method</title><link>http://www.hindawi.com/GetArticle.aspx?doi=10.1155/2008/956170</link><description>The objective of this paper is to present an analytical investigation to analyze the
                   vibration of parametrically excited oscillator with strong cubic negative nonlinearity based on
                    Mathieu-Duffing equation. The analytic investigation was conducted by using He&amp;#39;s 
                    homotopy-perturbation method (HPM). In order to obtain the analytical solution of Mathieu-Duffing 
                    equation, homotopy-perturbation method has been utilized. The Runge-Kutta&amp;#39;s (RK) algorithm 
                    was used to solve the governing equation via numerical solution. Finally, to demonstrate the validity 
                    of the proposed method, the response of the oscillator, which was obtained from approximate
                     solution, has been shown graphically and compared with that of numerical solution. Afterward, the
                      effects of variation of the parameters on the accuracy of the homotopy-perturbation method were 
                      studied.</description><Author>I. Khatami, M. H. Pashai, and N. Tolou</Author><copyright>&amp;#169; 2009, Hindawi Publishing Corporation. All rights reserved.</copyright></item></channel></rss>