Linear discrete-time systems with Markovian jumps and mode dependent time-delay: Stability and stabilizability

E. K. Boukas, P. Shi, M. Karan and C. Y. Kaya

Mathematical Problems in Engineering, 2002, vol. 8, 1-11

Abstract:

This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is given to demonstrate the effectiveness of the obtained theoretical results.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:762198

DOI: 10.1080/10241230212910

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