Stability analysis of markovian jump systems with multiple delay components and polytopic uncertainties

Abstract

This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov-Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach. © Springer Science+Business Media, LLC 2011.