Stability of impulsive systems with time window via comparison method

详细信息    查看全文

• 作者：Jie Tan ; Chuandong Li ; Tingwen Huang
• 关键词：Comparison method ; impulsive system ; stability ; time window
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：13
• 期：6
• 页码：1346-1350
• 全文大小：1,049 KB
• 参考文献：[1]J. Hespanha, D. Liberzon, and A. Teel, 鈥淟yapunov conditions for input-to-state stability of impulsive system,鈥?Automatica, vol. 44, no. 11, pp. 2735鈥?744, 2008.MATH MathSciNet CrossRef
  [2]X. Liu and Q. Wang, 鈥淚mpulsive stabilization of high-order Hopfield-type neural networks with time varying delays,鈥?IEEE Trans. on Neural Networks, vol. 19, no. 1, pp. 71鈥?9, 2008.CrossRef
  [3]P. Naghshtabrizi, J. Hespanha, and A. Teel, 鈥淓xponential stability of impulsive systems with application to uncertain sampled-data systems,鈥?System & Control Letters, vol. 57, no. 5, pp. 378鈥?85, 2008.MATH MathSciNet CrossRef
  [4]D. Bainov and P. S. Simeonov, Systems with Impulse Effect: Stability, Theory and Applications, Halsted, New York, 1989.MATH
  [5]V. Lakshmikantham, D. Bainov, and P. S. Simeonov, Theory of Impulsive Differential Equation, World Scientific, London, U.K., 1989.CrossRef
  [6]G. V. Kulev, 鈥淕lobal stability of sets for impulsive differential systems by Lyapunovs direct method,鈥?Comput. Math. Appl., vol. 19, no. 2, pp. 17鈥?8, 1990.MATH MathSciNet CrossRef
  [7]T. Yang and L. O. Chua, 鈥淚mpulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication,鈥?IEEE Trans. on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 10, pp. 976鈥?88, 1997.MathSciNet CrossRef
  [8]Z. G. Li, C. Y. Wen, and Y. C. Soh, 鈥淎nalysis and design of impulsive control systems,鈥?IEEE Trans. Autom. Control., vol. 46, no. 6, pp. 894鈥?97, 2001.MATH MathSciNet CrossRef
  [9]J. T. Sun, Y. P. Zhang, and Q. D. Wu, 鈥淟ess conservative conditions for asymptotic stability of impulsive control systems,鈥?IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 829鈥?31, 2003.MathSciNet CrossRef
  [10]J. T. Sun and Y. P. Zhang, 鈥淪tability analysis of impulsive control systems,鈥?Control Theory and Applications, IEEE Proceedings, vol. 150, no. 4, pp. 331鈥?34, 2003.CrossRef
  [11]X. Liu and H. Xi, 鈥淥n exponential stability of neutral delay Markovian jump systems with nonlinear perturbations and partially unknown transition rates,鈥?International Journal of Control, Automation, and Systems, vol. 12, no. 1, pp. 1鈥?1, 2014.CrossRef
  [12]K. E. Bouazza and M. Ouali, 鈥淕lobal stabilization of a class of delay discrete-time nonlinear systems via state and output feedback,鈥?International Journal of Control, Automation, and Systems, vol. 11, no. 6, pp. 1084鈥?094, 2013.CrossRef
  [13]W. X. Xie, C. Y. Wen, and Z. G. Li, 鈥淚mpulsive control for the stabilization and synchronization of Lorenz systems,鈥?Phys. Lett. A, vol. 275, pp. 67鈥?2, 2000.MATH MathSciNet CrossRef
  [14]T. Yang, 鈥淚mpulsive control,鈥?IEEE Trans. Autom. Control, vol. 44, no. 5, pp. 1081鈥?083, 1999.MATH CrossRef
  [15]T. Yang, Impulsive Control Theory, Springer, Berlin, 2001.MATH
  [16]J. Huang, C. Li, and X. He, 鈥淪tabilization of a memristor-based chaotic system by intermittent control and fuzzy processing,鈥?International Journal of Control, Automation, and Systems, vol. 11, no. 3, pp. 643鈥?47, 2013.CrossRef
  [17]G. Zhang and Y. Shen, 鈥淓xponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control,鈥?Neural Networks, vol. 55, pp. 1鈥?0, 2014.MATH MathSciNet CrossRef
  [18]G. Zhang and Y. Shen, 鈥淣ew algebraic criteria for synchronization stability of chaotic memristive neural networks with time-varying delays,鈥?IEEE Trans. Neural Netw. Learn. Syst., vol. 24, pp. 1701鈥?707, 2013.CrossRef
  
• 作者单位：Jie Tan (1) (2)
  Chuandong Li (3)
  Tingwen Huang (4)
  
  1. College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China
  2. College of Mathematics and physics, Chongqing University of Science and Technology, Chongqing, 401331, China
  3. College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China
  4. Department of Electrical and Computer Engineering Texas A&M University at Qatar, PO Box 23874, Doha, Qatar
  
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092

文摘

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. Keywords Comparison method impulsive system stability time window