Название: Stability and Controls Analysis for Delay Systems
Автор: JinRong Wang, Michal Feckan, Mengmeng Li
Издательство: Academic Press/Elsevier
Год: 2023
Страниц: 332
Язык: английский
Формат: pdf (true), epub
Размер: 24.3 MB

Stability and Controls Analysis for Delay Systems is devoted to stability, controllability and iterative learning control (ILC) to delay systems, including first order system, oscillating systems, impulsive systems, fractional systems, difference systems and stochastic systems raised from physics, biology, population dynamics, ecology and economics, currently not 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.

In recent decades, there have been few developments in seeking explicit formulas of solutions to delay differential/discrete equations by introducing continuous/discrete delayed exponential matrices. One of the biggest advantages of continuous/discrete delayed exponential matrices is to transfer the classical idea of representing the solution of linear ordinary differential equations to linear delay differential/discrete equations. Stability analysis and mathematical control theory are important areas of research for classical differential delay systems. Various mathematical methods as well as new stability concepts are explored to deal with such problems. However, there is no book that uses delayed exponential matrices to deal with the stability, controllability, and iterative learning control of delay systems such as first order systems, oscillating systems, impulsive systems, fractional systems, difference systems, and stochastic systems. This was the main motivation to write this book.

The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique.

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