Bøker av Yonggui Kao

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.

This book proposes analysis and design techniques for Markov jump systems (MJSs) using Lyapunov function and sliding mode control techniques. It covers a range of topics including stochastic stability, finite-time boundedness, actuator-fault problem, bumpless transfer scheme, and adaptive sliding mode fault-tolerant control for uncertain MJSs. Notably, the book presents a new model for deception attacks (DAs), establishing the correlation between attacks and time delays, which should be of particular interest due to the recent increase in such attacks. The book's content is presented in a comprehensive, progressive manner, with fundamental principles introduced first before addressing more advanced techniques. The book features illustrations and tables, providing readers with a practical and intuitive approach to applying these methods in their own research. This book will prove invaluable to researchers and graduate students in control engineering and applied mathematics with an interest in the latest developments in MJSs.