期刊
CHAOS SOLITONS & FRACTALS
卷 142, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2020.110505
关键词
Lyapunov method; Impulsive control; Partial measurable; Nonlinear systems; Stability
资金
- National Natural Science Foundation of China [61673247]
- Research Fund for Excellent Youth Scholars of Shandong Province [JQ201719]
This study investigates the stability of partial unmeasurable nonlinear systems under impulsive control, providing sufficient conditions for exponential stability using transition matrix method and dimension expansion technique. The proposed method allows for systems with incomplete states and relaxes restrictions on measurable states, expanding its practical applications. Two illustrative examples with numerical simulations are presented to demonstrate the effectiveness of the main results.
This paper investigates the stability problem of partial unmeasurable nonlinear systems under impulsive control. Some sufficient conditions are given to guarantee exponential stability of systems using transition matrix method coupled with dimension expansion technique, where the possibility of the effects of partial unmeasurable states is fully considered. In our proposed method, we not only allow systems to have incomplete states, but also relax restrictions on measurable states, which has a wider range of applications in practice. Finally, two illustrative examples are presented, with their numerical simulations, to demonstrate the effectiveness of main results. (C) 2020 Elsevier Ltd. All rights reserved.
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