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Finite-Time Stability of Time-Delay Switched Systems with Delayed Impulse Effects

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Abstract

This paper investigates the finite-time stability problem for a class of time-delay switched systems with nonlinear perturbation and delayed impulse effects. Based on the Lyapunov function method and the technique of inequalities, stability criteria are established to guarantee that the state trajectory of the system does not exceed a certain threshold over a pre-specified finite time interval. Compared with existing results for related problems, the obtained results can be applied to a larger class of hybrid delayed systems, including those in which all of the subsystems are stable and unstable. Two examples are given to demonstrate the validity of the main results.

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Acknowledgments

The authors would like to thank the Editor and the reviewers for their valuable comments to improve the quality of the manuscript. This work is supported by NNSF of China under Grants 61273091, 61273123, 61304066, Shandong Provincial Scientific Research Reward Foundation for Excellent Young and Middle-aged Scientists of China under grant BS2011DX013, BS2012SF008, and Taishan Scholar Project of Shandong Province of China.

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  1. Department of Automation, Qufu Normal University, Rizhao, 276826, Shandong, People’s Republic of China

    Lijun Gao & Yingying Cai

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  1. Lijun Gao
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  2. Yingying Cai
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Correspondence to Lijun Gao.

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Gao, L., Cai, Y. Finite-Time Stability of Time-Delay Switched Systems with Delayed Impulse Effects. Circuits Syst Signal Process 35, 3135–3151 (2016). https://doi.org/10.1007/s00034-015-0194-2

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