K. Benjelloun, E. K. Boukas, "Stochastic stability of linear time-delay system with Markovian jumping parameters", Mathematical Problems in Engineering, vol. 3, Article ID 235070, 15 pages, 1997. https://doi.org/10.1155/S1024123X97000525
Stochastic stability of linear time-delay system with Markovian jumping parameters
This paper deals with the class of linear time-delay systems with Markovian jumping parameters (LTDSMJP). We mainly extend the stability results of the deterministic class of linear systems with time-delay to this class of systems. A delay-independent necessary condition and sufficient conditions for checking the stochastic stability are established. A sufficient condition is also given. Some numerical examples are provided to show the usefulness of the proposed theoretical results.
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