Mathematical Problems in Engineering

Time-Delay Systems: Modeling, Analysis, Estimation, Control, and Synchronization


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Published

Lead Editor

1University of Carthage, Tunis, Tunisia

2University of Arad, Arad, Romania

3Cadi Ayyad University, Marrakesh, Morocco

4University of Sfax, Sfax, Tunisia

5King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia

6University of the West of England, Bristol, UK


Time-Delay Systems: Modeling, Analysis, Estimation, Control, and Synchronization

Description

Time-delay systems are infinite-dimensional systems describing a large class of biological, chemical, and physical phenomena. In applied mathematics, many mathematical models in biosciences (population dynamics, ecological and chemostat systems, cell kinetics, etc.) and in medicine (neural networks, regulation of blood concentration, hormone regulation in the endocrine system, epidemiology, tumor growth, HIV infection, immune response, etc.) are based on delay-differential equations. Such models are generally used to understand their dynamics and study their unstable patterns (periodic solutions and chaotic regimes). In these fields, the numerical approaches are generally the major tool whereas the analytic results are still largely lacking and are still expected.

In chemical reaction process, time delays often take place in the mass transmission in serial reactors, recycles, intermediate storage tanks, or heat transmission. Delays can appear either in the state variables, the control inputs, or the measurement outputs. The neglect of time delays might give rise to oscillation dynamics and instability. Several results on analysis and control design approaches of time-delay chemical processes are proposed, but many other challenging results are yet expected and must focus on the design of robust controllers for uncertain multiple time-delay models.

Delays emerge in many engineering applications such as rolling mills, pneumatic and hydraulic systems, automotive systems, aircrafts, and robotic systems. They generally describe propagation phenomena, material and energy transfer in intercommoned systems, and data transmission in communication systems. It is well known that delays are often source of bifurcation and chaos dynamics, instability, and poor control performances. Since the 1950s, the topic of time-delayed systems is considered as an important research topic. Solutions are always divided into two main classes: delay-independent and delay-dependent approaches. Results are based either on Lyapunov methods or on frequency domain considerations. However, until now, many problems related to this topic remain unsolved and a lot of challenging issues of theoretical and practical importance are yet expected in modeling, identification, analysis, and synthesis approaches.

The aim of this special issue is to improve the current state of the art and highlight significant recent developments on the topics of linear and nonlinear time-delay systems, either continuous or discrete in time.

Potential topics include but are not limited to the following:

  • Identification, modeling, and approximation of multiple time-delay systems
  • Stability analysis and stabilization of time-delay systems via frequency domain and Lyapunov approaches
  • Observer design and synchronization of time-delay systems subject to uncertainties and disturbances
  • Bifurcation and chaos phenomena for nonlinear time-delay systems
  • PID, predictive, and robust control design for multiple time-delay systems
  • Applications:
    • Biosciences and medical dynamical models
    • Chemical and biochemical processes
    • Pneumatic and hydraulic systems
    • Automotive, aircraft, and robotic systems
    • Communication systems

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 1398904
  • - Editorial

Time-Delay Systems: Modeling, Analysis, Estimation, Control, and Synchronization

Olfa Boubaker | Valentina E. Balas | ... | Quanmin Zhu
  • Special Issue
  • - Volume 2017
  • - Article ID 7354654
  • - Review Article

Recent Progress in Stability and Stabilization of Systems with Time-Delays

Magdi S. Mahmoud
  • Special Issue
  • - Volume 2017
  • - Article ID 7307834
  • - Research Article

Consensus Conditions for High-Order Multiagent Systems with Nonuniform Delays

Mengji Shi | Kaiyu Qin | ... | Jun Liu
  • Special Issue
  • - Volume 2017
  • - Article ID 4063184
  • - Research Article

Consensus Control for a Multiagent System with Time Delays

Yiran Cao | Toshiki Oguchi | ... | Henk Nijmeijer
  • Special Issue
  • - Volume 2017
  • - Article ID 1241545
  • - Research Article

MIMO PI Controllers for LTI Systems with Multiple Time Delays Based on ILMIs and Sensitivity Functions

Wajdi Belhaj | Olfa Boubaker
  • Special Issue
  • - Volume 2017
  • - Article ID 5170492
  • - Research Article

Direct Yaw-Moment Control of All-Wheel-Independent-Drive Electric Vehicles with Network-Induced Delays through Parameter-Dependent Fuzzy SMC Approach

Wanke Cao | Zhiyin Liu | ... | Antoni Szumanowski
  • Special Issue
  • - Volume 2017
  • - Article ID 5041783
  • - Research Article

Multiple Periodic Solutions for a Class of Second-Order Neutral Impulsive Functional Differential Equations

Jingli Xie | Zhiguo Luo | Yuhua Zeng
  • Special Issue
  • - Volume 2016
  • - Article ID 9191073
  • - Research Article

Stabilization for Damping Multimachine Power System with Time-Varying Delays and Sector Saturating Actuator

Linlin Ma | Yanping Liang | Jian Chen
  • Special Issue
  • - Volume 2016
  • - Article ID 1813403
  • - Research Article

High Precision Clock Bias Prediction Model in Clock Synchronization System

Zan Liu | Xihong Chen | ... | Chenglong Li
  • Special Issue
  • - Volume 2016
  • - Article ID 7843940
  • - Research Article

Robust Quadratic Stabilizability and Control of Uncertain Linear Discrete-Time Stochastic Systems with State Delay

Xiushan Jiang | Xuemin Tian | Weihai Zhang
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Impact Factor1.009
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