Stability of singularly perturbed nonlinear stochastic hybrid systems. Issue 3 (3rd May 2016)

• Record Type: Journal Article
• Authors: Socha, Lesław
• Is Part Of: Stochastic analysis and applications. Volume 34:Issue 3(2016)
• Page Start: 365
• Page End: 388
• Publication Date: 2016-05-03
• Subjects: Hybrid systems -- singularly perturbed systems -- stochastic stability -- Lyapunov techniques; 60H10 -- 60H30 -- 65C30; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2015.1135750
• Languages: English
• ISSNs: 0736-2994

Abstract

ABSTRACT: 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.