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An improved impulsive control approach to nonlinear systems with time-varying delays |
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| Authors: | Zhang Hua-Guang Fu Jie Ma Tie-Dong and Tong Shao-Cheng |
| Affiliation: | Key Laboratory of Industry Automation for the Process Integrated, Ministry of Education, Northeastern University, Shenyang 110004, China; School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; Department 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. |
| Keywords: | impulsive control time-varying delays impulsive functional differential equations Lyapunov-like stability theorem |
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