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

El-Kébir Boukas, P. Shi, M. Karan, C. Y. Kaya

Article (2002)

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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.

Uncontrolled Keywords

Discrete-time systems; time-delay; stochastic systems; stability; stabilizability

Subjects: 2100 Mechanical engineering > 2100 Mechanical engineering
Department: Department of Mechanical Engineering
PolyPublie URL: https://publications.polymtl.ca/3377/
Journal Title: Mathematical Problems in Engineering (vol. 8, no. 2)
Publisher: Hindawi
DOI: 10.1080/10241230212910
Official URL: https://doi.org/10.1080/10241230212910
Date Deposited: 06 Nov 2018 13:26
Last Modified: 11 Nov 2022 13:39
Cite in APA 7: Boukas, E.-K., Shi, P., Karan, M., & Kaya, C. Y. (2002). Linear discrete-time systems with Markovian jumps and mode dependent time-delay: Stability and stabilizability. Mathematical Problems in Engineering, 8(2), 123-133. https://doi.org/10.1080/10241230212910

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