A Note on Sufficient Conditions of Almost Sure Exponential Stability for Semi-Markovian Jump Stochastic Systems
Bao Wang, Quanxin Zhu
IEEE Access · 2019
doi:10.1109/access.2019.2910663 (opens in a new tab)
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Abstract
In this paper, we are concerned with the stability analysis of stochastic systems switched by the ergodic semi-Markovian process. The sufficient conditions for almost sure exponential stability are derived by using the method of multiple Lyapunov functions and the ergodic property of the semi-Markov process. Particularly, our results generalize and improve some published results in the literature. An example is presented to illustrate the effectiveness of the obtained results.
Abstract licence: CC BY-NC-ND
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