Introduction.- Definitions and Basic Theory.- Impulsive Systems with Delays.- Impulsive Systems with Delayed Impulses.- Impulsive Systems with Event.- Triggered Mechanism.
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 networks, and applied mathematics.

Shiji Song was born in 1965. He received the B.S. in Mathematics from Harbin Normal University, China, in 1986, and M.S. and Ph.D. degrees in Mathematics from Harbin Institute of Technology, China, in 1989 and 1996, respectively. Since 2000, he has been with the Department of Automation, Tsinghua University, China, where he is currently Professor. His research and teaching interests include system identification, fuzzy systems, stochastic neural network, and visual information system for ocean mineral resource and its application. He has published in various well-established journals, including IIE Transactions, Journal of Scheduling, European Journal of Operational Research, Journal of the Operational Research Society, IEEE Transactions on Neural Networks and Learning Systems, IEEE Transactions on Circuits and Systems, and many others.