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Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period

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Abstract

In this paper, finite-time stability (FTS) and finite-time boundedness (FTB) are investigated for a class of switched linear systems with large delay period and input disturbances. The limitation of the frequency and the maximum ratio of large delay period are used to guarantee the properties of FTS and FTB. By constructing a piecewise Lyapunov functional with large delay integral terms, sufficient conditions that can guarantee the FTS and FTB are developed in the form of linear matrix inequalities. Two numerical examples are provided to demonstrate the effectiveness of the proposed results.

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Acknowledgements

This work is supported by National Natural Science Foundation (NNSF) of China under Grants 61673243, 61273091, 61303198 and 61471409, the Project of Taishan Scholar of Shandong Province of China, the Ph.D. Programs Foundation of Ministry of Education of China under Grant 20123705110002, the project of twelfth 5-year education science of Shandong Province under Grant ZBS15001.

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Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Rizhao, 276862, Shandong Province, China

    Chunxiao Wang, Yuqiang Wu & Guangdeng Zong

  2. School of Science, Shandong Jianzhu University, Jinan, 250101, Shandong Province, China

    Chunxiao Wang

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  1. Chunxiao Wang
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  2. Yuqiang Wu
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  3. Guangdeng Zong
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Correspondence to Yuqiang Wu.

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Wang, C., Wu, Y. & Zong, G. Extended Finite-Time Boundedness and Stability for Switched Linear Systems with Large Delay Period. Circuits Syst Signal Process 36, 3616–3629 (2017). https://doi.org/10.1007/s00034-016-0473-6

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  • DOI: https://doi.org/10.1007/s00034-016-0473-6

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