An improved impulsive control approach to nonlinear systems with time-varying delays

Zhang Hua-guang, Jie Fu, Tiedong Ma, Tong Shao-Cheng · Chinese Physics B · 2009

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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