Complexity

Geometric and Polynomial Approaches of Complex Systems and Control in Mathematics and Applied Sciences


Publishing date
01 Apr 2020
Status
Published
Submission deadline
06 Dec 2019

1Universidad Autónoma Metropolitana, CDMX, Mexico

2Instituto Tecnológico de Tijuana, Baja California, Mexico

3Universidad Tecnológica Nacional, Neuquén, Argentina


Geometric and Polynomial Approaches of Complex Systems and Control in Mathematics and Applied Sciences

Description

Complex dynamical systems exist in many theoretical and practical domains of science and engineering, including physical processes, man-made systems, networks of leader-follower multiagent systems, and distributed, deterministic, and stochastic control systems.

The matrix approach to state space has long been considered the optimal way of addressing many of the central problems of control systems. In recent decades, novel methods and approaches to the study of these systems, both linear and nonlinear, have been based on a geometrical approach in which the objective is to reveal the properties of the geometric skeleton of the dynamic system. The geometric approach can convert a difficult nonlinear problem into a straightforward linear one.

Geometric control theory and sub-Riemannian geometry are research domains that play an important role in complex dynamical systems, searching controllability, optimality, and stability for linear and nonlinear control systems, applying Lie Theory techniques, Pontryagin Maximum Principle, and other geometric and algebraic techniques to Robotic Control, Motion Planning Problems, sub-Riemannian metric complexity, models of neurobiological visual processing, and digital image reconstruction.

On the other hand, polynomials theory has been a useful tool to explain the classical and complex behavior of dynamical systems, for instance, considering the stability behavior of a dynamical system, a computational search for parameter-dependent transitions can be affected by doing algebraic operations with the coefficients of the characteristic polynomial of the corresponding system. In addition, recently polynomial approaches have been used to study the chaotic behavior of complex systems, particularly to generate scrolls. The polynomial approaches have also been exploited to solve fundamental problems such as controllability, stability, and robustness. Polynomials theory can also be applied in uncertain, nonlinear, time-delay and hybrid systems, and model predictive control.

The goal of this special issue is to develop theoretical and practical methods and tools, useful models, and differential-algebraic and geometric techniques for the analysis of problems in the domain of complex systems. Authors are encouraged to submit papers that discuss new directions in the way of original research in the field of complex systems. Review articles are also encouraged.

Potential topics include but are not limited to the following:

  • Optimal control of complex systems
  • Polynomial approaches for studying the stability of continuous complex systems
  • Control of complex systems and sub-Riemannian geometry
  • Polynomial approaches for studying the stability of discrete complex systems
  • Control, modeling, and numerical estimation of complex systems
  • Polynomial approaches for studying chaotic behavior of complex systems
  • Engineering of complex systems and intelligent robotics design
  • Sub-Riemannian metric complexity
  • Matrix approach for complex systems
  • Polynomial approach for control of complex behavior
  • Pattern recognition in complex systems
  • Analysis and control of complex networks

Articles

  • Special Issue
  • - Volume 2020
  • - Article ID 6281613
  • - Editorial

Geometric and Polynomial Approaches of Complex Systems and Control in Mathematics and Applied Sciences

Baltazar Aguirre-Hernández | Jorge-Antonio López-Rentería | ... | Cutberto Romero-Meléndez
  • Special Issue
  • - Volume 2020
  • - Article ID 2376374
  • - Research Article

Poincaré Map Approach to Global Dynamics of the Integrated Pest Management Prey-Predator Model

Zhenzhen Shi | Qingjian Li | ... | Huidong Cheng
  • Special Issue
  • - Volume 2020
  • - Article ID 6079507
  • - Research Article

Optimal Decay Rate Estimates of a Nonlinear Viscoelastic Kirchhoff Plate

Baowei Feng | Mostafa Zahri
  • Special Issue
  • - Volume 2020
  • - Article ID 9685383
  • - Research Article

On the Delay Interval in Which the Control Delay Systems are Stabilizable

Jiang Wei
  • Special Issue
  • - Volume 2020
  • - Article ID 8910132
  • - Research Article

Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model

Chekib Ghorbel | Amira Tiga | Naceur Benhadj Braiek
  • Special Issue
  • - Volume 2020
  • - Article ID 4907895
  • - Research Article

Availability Equivalence Analysis for the Simulation of Repairable Bridge Network System

Jaafar M. Alghazo | Abdelfattah Mustafa | Adel A. El-Faheem
  • Special Issue
  • - Volume 2020
  • - Article ID 5381215
  • - Research Article

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

Xiao Yu
  • Special Issue
  • - Volume 2019
  • - Article ID 5124108
  • - Research Article

Application of Sum of Squares Method in Nonlinear H Control for Satellite Attitude Maneuvers

Fanwei Meng | Dini Wang | ... | Guanzhou Xie
  • Special Issue
  • - Volume 2019
  • - Article ID 5308014
  • - Research Article

Dynamic Analysis of Beddington–DeAngelis Predator-Prey System with Nonlinear Impulse Feedback Control

Dezhao Li | Huidong Cheng | Yu Liu
Complexity
Publishing Collaboration
More info
Wiley Hindawi logo
 Journal metrics
Acceptance rate43%
Submission to final decision64 days
Acceptance to publication35 days
CiteScore3.200
Impact Factor2.462
 Submit