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Stability of Switched Systems with Unstable Subsystems: A Sequence-Based Average Dwell Time Approach

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Abstract

This paper proposes a new sequence-based approach to resolve the stability problems found in switched systems with unstable subsystems. In existing approaches, the sequence information of switching subsystems is seldom exploited. By exploiting the sequence information, threshold values can be less restrictive and more appropriate for the situation. We study two cases in this paper: (a) all subsystems are unstable, and (b) part of the subsystems are unstable. Both continuous-time and discrete-time systems are studied, and a numerical example is given to show the advantage of our approach.

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Authors and Affiliations

  1. Key Laboratory of Electronic Information of State Ethnic Affairs Commission, College of Electrical Engineering, Southwest Minzu University, Chengdu, 610225, China

    Dianhao Zheng

  2. Faculty of Engineering and Information Technology, University of Technology Sydney, Ultimo, NSW, 2007, Australia

    Dianhao Zheng & Steven W. Su

  3. School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Hongbin Zhang

  4. Global Big Data Technologies Centre, University of Technology Sydney, Ultimo, NSW, 2007, Australia

    J. Andrew Zhang

Authors
  1. Dianhao Zheng
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  2. Hongbin Zhang
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  3. J. Andrew Zhang
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  4. Steven W. Su
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Correspondence to Dianhao Zheng.

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Zheng, D., Zhang, H., Zhang, J.A. et al. Stability of Switched Systems with Unstable Subsystems: A Sequence-Based Average Dwell Time Approach. Circuits Syst Signal Process 40, 5328–5350 (2021). https://doi.org/10.1007/s00034-021-01742-5

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  • DOI: https://doi.org/10.1007/s00034-021-01742-5

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