Cite this article:
Zhang Hua-Guang, Fu Jie, Ma Tie-Dong, Tong Shao-Cheng. An improved impulsive control approach to nonlinear systems with time-varying delaysJ. Chin. Phys. B, 2009, 18(3): 969-974.
| Zhang Hua-Guang, Fu Jie, Ma Tie-Dong, Tong Shao-Cheng. An improved impulsive control approach to nonlinear systems with time-varying delaysJ. Chin. Phys. B, 2009, 18(3): 969-974. |
An improved impulsive control approach to nonlinear systems with time-varying delays
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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. -
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