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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 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 withtime-varying delays is investigated in this paper. Based on theLyapunov-like stability theorem for impulsive functionaldifferential equations (FDEs), some sufficient conditions arepresented to guarantee the uniform asymptotic stability ofimpulsively controlled nonlinear systems with time-varying delays.These conditions are more effective and less conservative than thoseobtained. Finally, two numerical examples are provided todemonstrate the effectiveness of the proposed method. |
| Keywords: | impulsive control time-varyingdelays impulsive functional differential equations Lyapunov-likestability theorem |
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