Stability analysis for semi-Markovian switched singular stochastic systems

摘要

The stability problem is investigated for switched singular stochastic systems with semi-Markovian switching signals. Considering the inherent mode-dependent state jumps at the switching instants, sufficient conditions of stochastic stability, exponential stability in the mean square and almost surely exponential stability are obtained by using the stochastic analysis theory and Lyapunov function method. Finally, an example is provided to illustrate the effectiveness of the proposed results. (C) 2020 Elsevier Ltd. All rights reserved.