An improved impulsive control approach to nonlinear systems with time-varying delays
Zhang Hua-Guang(张化光)a)b)†, Fu Jie(浮洁)b), Ma Tie-Dong(马铁东)b), and Tong Shao-Cheng(佟绍成)c)
aKey Laboratory of Industry Automation for the Process Integrated, Ministry of Education, Northeastern University, Shenyang 110004, China; b School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; cDepartment of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China
Abstract A scheme for the impulsive control of nonlinear systems with time-varying delays is investigated in this paper. Based on the Lyapunov-like stability theorem for impulsive functional differential equations (FDEs), some sufficient conditions are presented to guarantee the uniform asymptotic stability of impulsively controlled nonlinear systems with time-varying delays. These conditions are more effective and less conservative than those obtained. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed method.
Received: 29 August 2008
Revised: 22 September 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 60534010, 60774048,
60728307, 60804006 and 60521003), the National High Technology
Research and Development Program of China (Grant No 2006AA04Z183),
Liaoning Provincial Natu
Cite this article:
Zhang Hua-Guang(张化光), Fu Jie(浮洁), Ma Tie-Dong(马铁东), and Tong Shao-Cheng(佟绍成) An improved impulsive control approach to nonlinear systems with time-varying delays 2009 Chin. Phys. B 18 969
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