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Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays

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Abstract

This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for discrete impulsive switched systems with state delays. Sufficient conditions are presented for the existence of IO-FTS for such systems under the cases of certain switching, arbitrary switching, and uncertain switching. All the obtained results are formulated in a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 61273120.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Shipei Huang & Zhengrong Xiang

  2. Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898, Grimstad, Norway

    Hamid Reza Karimi

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  1. Shipei Huang
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  2. Zhengrong Xiang
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Correspondence to Zhengrong Xiang.

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Huang, S., Xiang, Z. & Karimi, H.R. Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays. Circuits Syst Signal Process 33, 141–158 (2014). https://doi.org/10.1007/s00034-013-9610-7

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  • DOI: https://doi.org/10.1007/s00034-013-9610-7

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