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Event-Triggered Dissipative Filter Design for Semi-Markovian Jump Systems with Time-Varying Delays

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  • Huiying Chen
  • Zuxin Li
  • Weifeng Xia

Abstract

This paper deals with the event-triggered dissipative filtering problem for semi-Markovian jump systems with time-varying delays. The purpose is to design a filter which guarantees that the filtering error system is not only stochastically stable but also satisfies dissipativity. First, based on Lyapunov–Krasovskii theory and matrix integral inequality, a sufficient condition is established for the existence of such a filter. Then, the codesign method of event-triggered matrices and the desired filter parameters is proposed. Finally, two numerical examples are given to illustrate the advantages and validity of the scheme developed in this paper.

Suggested Citation

  • Huiying Chen & Zuxin Li & Weifeng Xia, 2020. "Event-Triggered Dissipative Filter Design for Semi-Markovian Jump Systems with Time-Varying Delays," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, March.
    • Handle: RePEc:hin:jnlmpe:8983403
    DOI: 10.1155/2020/8983403
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