Stability and Controls Analysis for Delay Systems

Stability and Controls Analysis for Delay Systems

1st Edition - January 1, 2023

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  • Authors: Jinrong Wang, Michal Feckan, Mengmeng Li
  • Paperback ISBN: 9780323997928

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Description

Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to the delay systems such as first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, which have not been presented in other books on conventional fields. Delayed exponential matrix function approach is widely used to derive the representation and stability of the solutions and the controllability. ILC design are also established, which can be regarded as a way to find the control function. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique.

Key Features

  • Presents the representation and stability of solutions via delayed exponential matrix function approach
  • Gives useful sufficient conditions to guarantee controllability
  • Establishes ILC design and focuses on new systems such as first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from various subjects

Readership

Graduate students studying iterative learning control involving fractional derivatives and impulsive conditions as well as for researchers working in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines

Table of Contents

  • 1. Delay systems
    1.1 Finite time stability
    1.2 Controllability
    1.3 Iterative learning control
    2. Oscillating delay systems
    2.1 Finite time stability
    2.2 Controllability
    2.3 Iterative learning control
    3. Impulsive delay systems
    3.1 Asymptotical stability
    3.2 Finite time stability
    3.3 Controllability
    4. Fractional delay systems
    4.1 Finite time stability and controllability for Caputo type
    4.2 Finite time stability and controllability for Riemann-Liouville type
    5. Difference delay systems
    5.1 Controllability
    5.2 Iterative learning control for fixed trial lengths
    5.3 Iterative learning control for varying trial lengths
    6. Stochastic delay systems
    6.1 Controllability for first order systems
    6.2 Controllability for oscillating systems

Product details

  • No. of pages: 330
  • Language: English
  • Copyright: © Academic Press 2023
  • Published: January 1, 2023
  • Imprint: Academic Press
  • Paperback ISBN: 9780323997928

About the Authors

Jinrong Wang

Prof. JinRong Wang has been a Professor of the Department of Mathematics at the School of Mathematics and Statistics at Guizhou University, People’s Republic of China since 2011. He received his master’s degree from Guizhou University in 2006 and PhD from the same university in 2009. He is interested in impulsive differential equations, fractional differential equations, delay differential equations and iterative learning controls. He was recognized as a Highly Cited Researcher in Mathematics in the period of 2015 to 2018.

Affiliations and Expertise

Professor, Guizhou University, China

Michal Feckan

Professor Michal Fečkan works at the Department of Mathematical Analysis and Numerical Mathematics at the Faculty of Mathematics, Physics, and Informatics at Comenius University. He specializes in nonlinear functional analysis, and dynamic systems and their applications. There is much interest in his contribution to the analysis of solutions of equations with fractional derivatives. Fečkan has written several scientific monographs that have been published at top international publishing houses

Affiliations and Expertise

Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, Department of Mathematical Analysis and Numerical Mathematics, Bratislava, Slovak Republic

Mengmeng Li

Mengmeng Li is a Lecturer at Guizhou University in China.

Affiliations and Expertise

Lecturer, Guizhou University, China

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