Stochastic stability of linear time‐delay system with Markovian jumping parameters

Abstract
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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