Analysis and Control for Fractional-Order Systems

ISBN-13: 9789819960538 / Angielski

Yonggui Kao; Changhong Wang; Hongwei Xia

Spis treści

Introduction.- Adaptive sliding mode control for uncertain general fractional chaotic systems.- Synchronization of uncertain general fractional unified chaotic systems via finite-time adaptive sliding mode control.- Finite-time synchronization of delayed fractional-order heterogeneous complex networks.- Mittag-Leffler synchronization of fractional-order memristor-based neural networks with leakage and time-varying delays.- Global Mittag-Leffler stability of the delayed fractional coupled reaction-diffusion system on networks without strong connectedness.- Global Mittag-Leffler synchronization of coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks via sliding mode control.- Projective synchronization for uncertain fractional reactiondiffusion systems via adaptive sliding mode control based on finite-time scheme.- Impact of fear effect and prey refuge on a fractional order prey-predator system with Beddington-DeAngelis functional response.- A fractional-order food chain system incorporating Holling-II type functional response and prey refuge.

O autorze

Yonggui Kao received his B.E. degree from Beijing Jiaotong University in 1996. He received his M.S. and Ph.D. degrees from Ocean University of China in 2005 and 2008, respectively. He is now a professor at the Department of Mathematics, Harbin Institute of Technology (Weihai). With an interdisciplinary educational background in mathematics, control theory and physics, his research interests include stochastic systems, impulsive systems, neural networks, stability theory, fractional-order systems, fuzzy systems and sliding mode control.

Changhong Wang received his Ph.D. degree in Navigation, Guidance and Control from Harbin Institute of Technology, Harbin, China in 1991. He is currently a full professor at the School of Astronautics, Harbin Institute of Technology. His research interests include intelligent control and intelligent system, inertial technology, robotics and precision servo system.

Hongwei Xia received his Ph.D. degree from Harbin Institute of Technology, Harbin, China in 2008. He is currently a full professor at the School of Astronautics, Harbin Institute of Technology. His research interests include intelligent control and intelligent system, aircraft control and simulation, image processing and its application, etc.

Yue Cao is a Ph.D. student at Harbin Institute of Technology (Weihai).

Blurb

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,

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.

Yonggui Kao, professor at the Department of Mathematics, Harbin Institute of Technology (Weihai). With an interdisciplinary educational background in mathematics, control theory and physics, his research interests include stochastic systems, impulsive systems, neural networks, stability theory, fractional-order systems, fuzzy systems and sliding mode control.

Changhong Wang, professor at the School of Astronautics, Harbin Institute of Technology. His research interests include intelligent control and intelligent system, inertial technology, robotics and precision servo system.

Hongwei Xia, professor at the School of Astronautics, Harbin Institute of Technology. His research interests include intelligent control and intelligent system, aircraft control and simulation, image processing and its application, etc.

Yue Cao is a Ph.D. student at Harbin Institute of Technology (Weihai).