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Stability and dissipativity analysis for uncertain Markovian jump systems with random delays via new approach

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  • R. Samidurai
  • R. Sriraman
  • Song Zhu

Abstract

This paper studies the problem of stability and dissipativity analysis for uncertain Markovian jump systems (UMJSs) with random time-varying delays. Based on the auxiliary function-based integral inequality (AFBII) and with the help of some mathematical tools, a new double integral inequality (NDII) is developed. Then, to show the efficiency of the proposed inequality, a suitable Lyapunov-Krasovskii functional (LKF) is constructed with augmented delay-dependent terms. By employing integral inequalities, new delay-dependent sufficient conditions are derived in terms of linear matrix inequalities (LMIs). Finally, illustrative examples are given to show the effectiveness and less conservatism of the results.

Suggested Citation

  • R. Samidurai & R. Sriraman & Song Zhu, 2019. "Stability and dissipativity analysis for uncertain Markovian jump systems with random delays via new approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(8), pages 1609-1625, June.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1609-1625
    DOI: 10.1080/00207721.2019.1618942
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    Cited by:

    1. Sakthivel, R. & Suveetha, V.T. & Nithya, V. & Sakthivel, R., 2021. "Finite-time reliable filtering for Takagi–Sugeno fuzzy semi-Markovian jump systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 403-418.

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