Abstract
The stability of impulsive systems with time window is studied via comparison method. Two theorems are obtained to determine the different impulsive time windows for stable and unstable continuous dynamical systems, respectively. The effectiveness of the theoretical results are illustrated by two numerical examples.
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Recommended by Associate Editor Ho Jae Lee under the direction of Editor PooGyeon Park.
This publication was made possible by NPRP(grant No.4-1162-1-181) from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors. This work was also supported by Natural Science Foundation of China (grant No.61374078, 61403 313) and National Science Funds of Chongqing (No.cstc2013jcyj A10049).
Jie Tan received her B.S. and M.S. degrees in Applied Mathematics from Southwest University, Chongqing, China, in 2002 and 2010, respectively. She is currently pursuing a Ph.D. degree with College of Electronic and Information Engineering, Southwest university, Chongqing, China. Her current research interest covers computational intelligence, neural networks, stability analysis of impulsive dynamical systems.
Chuandong Li received his B. S. degree in Applied Mathematics from Sichuan University, Chengdu, China in 1992, and an M.S. degree in operational research and Control Theory and a Ph.D. degree in Computer Software and Theory from Chongqing University, Chongqing, China, in 2001 and in 2005, respectively. He has been a Professor at the College of Computer Science, Chongqing University, Chongqing 400044, China, since 2007, and been the IEEE Senior member since 2010. From November 2006 to November 2008, he serves as a research fellow in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China. He has published about more than 100 journal papers. His current research interest covers computational intelligence, neural networks, memristive systems, chaos control and synchronization, and impulsive dynamical systems.
Tingwen Huang received his B.S. degree from Southwest Normal University (now Southwest University), China, in 1990, an M.S. degree from Sichuan University, China, in1993, and a Ph.D. degree from Texas A&M University, College Station, Texas, USA, in 2002. He is a Professor of Mathematics, Texas A&M University at Qatar. His current research interests include dynamical systems, memristor, neural networks, complex networks, optimization and control, traveling wave phenomena.
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Tan, J., Li, C. & Huang, T. Stability of impulsive systems with time window via comparison method. Int. J. Control Autom. Syst. 13, 1346–1350 (2015). https://doi.org/10.1007/s12555-014-0197-y
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DOI: https://doi.org/10.1007/s12555-014-0197-y