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On almost sure stability of hybrid stochastic systems with mode-dependent interval delays

Huang, Lirong and Mao, Xuerong (2010) On almost sure stability of hybrid stochastic systems with mode-dependent interval delays. IEEE Transactions on Automatic Control, 55 (8). pp. 1946-1952. ISSN 0018-9286

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Abstract

This note develops a criterion for almost sure stability of hybrid stochastic systems with mode-dependent interval time delays, which improves an existing result by exploiting the relation between the bounds of the time delays and the generator of the continuous-time Markov chain. The improved result shows that the presence of Markovian switching is quite involved in the stability analysis of delay systems. Numerical examples are given to verify the effectiveness.