Analysis and Control for Fractional-order Systems / by Yonggui Kao, Changhong Wang, Hongwei Xia, Yue Cao.

Format:

Book

Author/Creator:

Kao, Yonggui.

Contributor:

Wang, Changhong.

Xia, Hongwei.

Cao, Yue.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

System theory.

Control theory.

Differential equations.

Systems Theory, Control.

Differential Equations.

Local Subjects:

Systems Theory, Control.

Differential Equations.

Physical Description:

1 online resource (236 pages)

Edition:

1st ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

This book focuses on the applications of various types of fractional-order differential equations. The authors present their latest research results. This book for the first time introduces the concept of general fractional chaotic systems and their synchronisation, investigates the synchronisation of a fractional coupled reaction-diffusion system using a sliding mode control approach, and considers the impacts of fear and prey escape on a fractional-order prey-predator system with Beddington-DeAngelis functional response. Authors believe that these recent research results can promote the applications of fractional-order differential equations in diverse areas. The book will be attractive to researchers in various fields of mathematics, biomathematics and engineering. Graduate students in related fields may also find this book useful.

Contents:

Chapter 1. Introduction

Part I. Control and Synchronization of Several Classes of General Fractional Systems

Chapter 2. Adaptive Sliding Mode Control for Uncertain General Fractional Chaotic Systems

Chapter 3. Synchronization of Uncertain General Fractional Unified Chaotic Systems via Finite-Time Adaptive Sliding Mode Control

Chapter 4. Finite-time Synchronization of Delayed Fractional-order Heterogeneous Complex Networks

Chapter 5. Mittag-Leffler Synchronization of Fractional-order Memristor-based Neural Networks with Leakage and Time-varying Delays

Part II. Stability, Control and Synchronization of Several Classes of Fractional Reaction-Diffusion Systems

Chapter 6. Global ML Stability of the Delayed Fractional-order Coupled Reaction-Diffusion System on Networks Without Strong Connectedness

Chapter 7. Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-Grossberg Neural Networks via Sliding Mode Control

Chapter 8. Projective Synchronization for Uncertain Fractional Reaction-Diffusion Systems via Adaptive Sliding Mode Control based on Finite-Time Scheme

Part III. Dynamic Behavior of Fractional-order System with Functional Response Function

Chapter 9. Impact of Fear Effect and Prey Refuge on a Fractional Order Prey-Predator System with Beddington-DeAngelis Functional Response

Chapter 10. A Fractional-order Food Chain System Incorporating Holling-II type Functional Response and Prey Refuge.

Notes:

Description based on publisher supplied metadata and other sources.

Other Format:

Print version: Kao, Yonggui Analysis and Control for Fractional-Order Systems

ISBN:

9789819960545

OCLC:

1445866278