Springer Impulsive Systems with Delays: Stability and Control

This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided. This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory. From the Back Cover This book systematically presents the most recent progress in stability and control of impulsive systems with delays. Impulsive systems have recently attracted continued high research interests because they provide a natural framework for mathematical modeling of many real-world processes. It focuses not only on impulsive delayed systems, but also impulsive systems with delayed impulses and impulsive systems with event-triggered mechanism, including their Lyapunov stability, finite-time stability and input-to-state stability synthesis. Special attention is paid to the bilateral effects of the delayed impulses, where comprehensive stability properties are discussed in the framework of time-dependent and state-dependent delays. New original work with event-triggered impulsive control and its applications in multi-agent systems and collective dynamics are also provided. This book will be of use to specialists who are interested in the theory of impulsive differential equations and impulsive control theory, as well as high technology specialists who work in the fields of complex networks and applied mathematics. Also, instructors teaching graduate courses and graduate students will find this book a valuable source of nonlinear system theory. About the Author Xiaodi Li was born in Shandong province, China. He received the B.S. and M.S. degrees from Shandong Normal University, Jinan, China, in 2005 and 2008, respectively, and the Ph.D. degree from Xiamen University, Xiamen, China, in 2011, all in applied mathematics. He joined the School of Mathematics and Statistics, Shandong Normal University, Jinan, China, in 2011. He is currently Professor and Director of the Research Center for Control and Engineering Computation. From May 2019, he is Dean of the School of Mathematics and Statistics, Shandong Normal University. From November 2014 to December 2016, he was Visiting Research Fellow at Laboratory for Industrial and Applied Mathematics in York University, Canada, and the University of Texas at Dallas, USA. From 2017 to 2019, he was Visiting Research Fellow at the Department of Mathematics in City University of Hong Kong and the Department of Mechanical Engineering in The University of Hong Kong, respectively. He is currently Editor-in-Chief of the 'AIMS Mathematics' and 'Mathematical Modelling and Control', Subject Editor of Applied Mathematical Modelling, Associate Editor of International Journal of Systems Science, Neural Processing Letters, etc. He has authored or co-authored more than 100 research papers. His current research interests include discontinuous control theory, delay systems, hybrid systems, artificial neural netwo