Stability of singularly perturbed nonlinear stochastic hybrid systems

作者：Socha Leslaw^*

来源：Stochastic Analysis and Applications, 2016, 34(3): 365-388.

DOI：10.1080/07362994.2015.1135750

• Hybrid systems
• singularly perturbed systems
• stochastic stability
• Lyapunov techniques

The problem of exponential mean-square stability of nonlinear singularly perturbed, stochastic hybrid systems is studied in this article. Two groups of nonlinear systems are considered separately. To obtain the sufficient conditions of stability, two basic approaches of stability analysis for hybrid systems with a given Markovian switching rule and any Markovian switching rule and singularly perturbed non-hybrid systems were combined. The Lyapunov techniques were used in both approaches. The obtained results are illustrated by examples.

• 出版日期2016