Abstract
This chapter is concerned with the stochastic stability for a class of S-MJS with time-variant delays. By the Lyapunov function approach, together with a piecewise analysis method, sufficient conditions are proposed to guarantee the stochastic stability of the S-MJS. As more time-delay information is used, our results are much less conservative than some existing ones in literature. Finally, two examples are given to show the effectiveness and advantages of the proposed techniques.
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Li, F., Shi, P., Wu, L. (2017). Stochastic Stability of Semi-Markovian Jump Systems. In: Control and Filtering for Semi-Markovian Jump Systems. Studies in Systems, Decision and Control, vol 81. Springer, Cham. https://doi.org/10.1007/978-3-319-47199-0_2
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DOI: https://doi.org/10.1007/978-3-319-47199-0_2
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