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Observer-based control design of semi-Markovian jump systems with uncertain probability intensities and mode-transition-dependent sojourn-time distribution

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  • Nguyen, Khanh Hieu
  • Kim, Sung Hyun

Abstract

This paper deals with the problem of H∞ observer-based control for a class of continuous-time semi-Markovian jump systems (S-MJSs) with more detailed observational information. First, to explore the impact of uncertain probability intensities, a mathematical analysis is accomplished, from which some useful inequality conditions on the sum of transition rates (TRs) are obtained. Further, to come up with more accurate bounds of TRs, the mode-transition-dependent probability distribution of sojourn time is imposed on the mechanism of forming TRs. Lastly, by devising a compatible relaxation process that can embrace all the conditions found in our derivation, the resultant observer-based stabilization conditions are formulated in terms of linear matrix inequalities.

Suggested Citation

  • Nguyen, Khanh Hieu & Kim, Sung Hyun, 2020. "Observer-based control design of semi-Markovian jump systems with uncertain probability intensities and mode-transition-dependent sojourn-time distribution," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    • Handle: RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309609
    DOI: 10.1016/j.amc.2019.124968
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    References listed on IDEAS

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    Cited by:

    1. Nguyen, Ngoc Hoai An & Kim, Sung Hyun, 2021. "Asynchronous H∞ observer-based control synthesis of nonhomogeneous Markovian jump systems with generalized incomplete transition rates," Applied Mathematics and Computation, Elsevier, vol. 411(C).

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