期刊
NONLINEAR ANALYSIS-HYBRID SYSTEMS
卷 51, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2023.101411
关键词
Impulsive control; Exponential stability; Comparison principle; Time-delay; Delayed impulses
This paper investigates the problem of global exponential stability for nonlinear delay impulsive systems. By extending the traditional comparison principle and estimating the effects of delay on continuous and discrete dynamics, the internal relationship between delays, parameters of impulsive control, and continuous dynamics is revealed. Sufficient criteria for global exponential stability are obtained, quantitatively demonstrating the beneficial influences of delays on the system performance.
The problem of global exponential stability (GES) for nonlinear delay impulsive systems is investigated in this paper. By extending the traditional comparison principle, delay effects on continuous and discrete dynamics of the system are estimated, based on which, the internal relationship between delays, parameters of impulsive control, and continuous dynamics of the system is revealed. Then some sufficient criteria are obtained for GES, which quantitatively shows the beneficial influences of delays in impulses on the system performance. Finally, two numerical examples are given to illustrate the effectiveness of the proposed result. (c) 2023 Elsevier Ltd. All rights reserved.
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