时滞非自治脉冲微分系统的一致稳定性

2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP) Pub Date : 2015-11-01 DOI:10.1109/ICICIP.2015.7388187

Huamin Wang, Shukai Duan, Chuandong Li, Lidan Wang

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引用次数: 0

摘要

研究具有时滞的非自治脉冲微分系统的稳定性问题。利用数学归纳法、矛盾法和Lyapunov-Krasovskii泛函，得到了线性和非线性时滞非自治脉冲系统的几个一致稳定判据。最后给出了一个数值算例和仿真，验证了理论结果的有效性。

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Uniform stability of nonautonomous impulsive differential systems with time delay

This paper deals with the stability problems of nonautonomous impulsive differential systems with time-delay. By utilizing the method of mathematic induction, proofs by contradiction and Lyapunov-Krasovskii functional, we obtain several uniformly stable criteria about the linear and nonlinear nonautonomous impulsive systems with time delay. One numerical example and its simulations are given to illustrate the effectiveness of the theoretical result.

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2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)

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