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Finite-time stability of nonlinear systems with state-dependent delayed impulses

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Abstract

This paper addresses the issue of finite-time stability (FTS) and finite-time contractive stability (FTCS) of nonlinear systems involving state-dependent delayed impulsive perturbation. Several sufficient conditions are obtained by using theories of impulsive control and Lyapunov stability. The relation between impulsive perturbation and state-dependent delay is established to achieve FTS and FTCS. For time-varying nonlinear system and nonlinear system with fixed parameters, we derive some sufficient conditions based on the main thought of this paper, respectively. Finally, three numerical examples are provided to illustrate the effectiveness and validity of achieved results.

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Acknowledgements

This work was founded by the National Natural Science Foundation of China under Grants 61873213, 61633011 and partly by National Key Research and Development Project under Grant 2018AAA0100101 and Graduate Student Research Innovation Project of Chongqing (No. CYB20110).

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  1. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, People’s Republic of China

    Xiaoyu Zhang & Chuandong Li

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  1. Xiaoyu Zhang
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  2. Chuandong Li
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Zhang, X., Li, C. Finite-time stability of nonlinear systems with state-dependent delayed impulses. Nonlinear Dyn 102, 197–210 (2020). https://doi.org/10.1007/s11071-020-05953-4

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