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Stability of Markovian Jump Systems over Networks via Delta Operator Approach

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Abstract

This paper investigates the problem of stability for a class of linear uncertain Markovian jump systems over networks via the delta operator approach. The sensor-to-controller random network-induced delay and arbitrary packet losses are considered for mode-dependent time delays. That is, a Markov process is used to model the time-varying delays which are dependent on the system mode. Based on the Lyapunov–Krasovskii functional in the delta domain, a new sufficient condition for the solvability of the stability problem is presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the techniques developed.

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Authors and Affiliations

  1. Department of Automatic Control, Beijing Institute of Technology, Beijing, 100081, China

    Hongjiu Yang, Yuanqing Xia & Mengyin Fu

  2. Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd, CF37 1DL, UK

    Peng Shi

  3. School of Engineering and Science, Victoria University, Melbourne, 8001 VIC, Australia

    Peng Shi

  4. Faculty of Automation, Harbin University of Science and Technology, Harbin, China

    Peng Shi

Authors
  1. Hongjiu Yang
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  2. Yuanqing Xia
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  3. Peng Shi
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  4. Mengyin Fu
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Correspondence to Yuanqing Xia.

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Yang, H., Xia, Y., Shi, P. et al. Stability of Markovian Jump Systems over Networks via Delta Operator Approach. Circuits Syst Signal Process 31, 107–125 (2012). https://doi.org/10.1007/s00034-010-9263-8

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  • DOI: https://doi.org/10.1007/s00034-010-9263-8

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