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Stabilization of Switched Linear Systems with Time-Varying Delay in Switching Occurrence Detection

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Abstract

In this paper, we study stabilization of switched linear systems with time-varying delay in switching occurrence detection. The stabilization is realized through online and offline feedback mechanisms, respectively, and a state feedback controller design approach is proposed for each mechanism. To develop the main results, a more precise calculation method is proposed to estimate overshoots of transition matrices, which can be viewed as a refinement of existing results.

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Authors and Affiliations

  1. School of Automation Engineering, Qingdao University, Qingdao, 266071, China

    Zhijian Ji & Shixu Xu

  2. Department of Mathematics, Ocean University of China, 266071, China

    Xiaoxia Guo

  3. Intelligent Control Laboratory, Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, China

    Long Wang

Authors
  1. Zhijian Ji
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  2. Xiaoxia Guo
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  3. Shixu Xu
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  4. Long Wang
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Corresponding authors

Correspondence to Zhijian Ji, Xiaoxia Guo, Shixu Xu or Long Wang.

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Ji, Z., Guo, X., Xu, S. et al. Stabilization of Switched Linear Systems with Time-Varying Delay in Switching Occurrence Detection. Circuits Syst Signal Process 26, 361–377 (2007). https://doi.org/10.1007/s00034-006-0414-x

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  • DOI: https://doi.org/10.1007/s00034-006-0414-x

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