期刊
AUTOMATICA
卷 99, 期 -, 页码 361-368出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2018.10.024
关键词
Finite-time stability; Settling-time; Nonlinear impulsive systems; Lyapunov theorems; Time delay
资金
- National Natural Science Foundation of China [61673247, 61833005]
- Research Fund for Distinguished Young Scholars and Excellent Young Scholars of Shandong Province, China [JQ201719, ZR2016JL024]
- Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [BM2017002]
- Research grants Council of the Hong Kong Special Administrative Region, China [CityU 11200717]
This paper studies the problem of finite-time stability (FTS) for nonlinear impulsive systems. Based on impulsive control theory, several Lyapunov-based FTS theorems involving stabilizing impulses and destabilizing impulses are established, respectively. Our proposed results provide sufficient conditions for estimating the settling-time with respect to suitable classes of impulse time sequences. It is shown that the settling-time of nonlinear impulsive systems depends not only on the initial state but also on the impulse effect. As compared with the case without using stabilizing impulses, a smaller bound of setting time can be derived when a FTS system is subject to stabilizing impulses. Conversely, a larger bound of settling-time can be derived when the FTS system is subject to destabilizing impulses, as compared with the case without using destabilizing impulses. As a special case, we extend the ideas to nonlinear impulsive delay systems and derive some delay-independent PIS results. Examples and their simulations are given to demonstrate the applicability of the proposed results. (C) 2018 Elsevier Ltd. All rights reserved.y
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