Robust stabilization of a class of state-dependent jump linear systems. (November 2015)

• Record Type: Journal Article
• Authors: Chitraganti, Shaikshavali; Aberkane, Samir; Aubrun, Christophe
• Is Part Of: Nonlinear analysis. Volume 18(2015)
• Page Start: 48
• Page End: 59
• Publication Date: 2015-11
• Subjects: Jump linear systems -- State-dependent jump process -- Robust stability -- State-feedback stabilization -- LMIs; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.06.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this article, we consider a continuous-time state-dependent jump linear system (SDJLS), a kind of stochastic hybrid system, with the presence of uncertainties in system parameters. In SDJLS, we consider that the transition rates of the underlying random jump process depend on the state variable. In particular, we assume the transition rates to have different values across suitably defined sets to which the state of the system belongs, and address a problem of robust stability and stabilization analysis. We obtain sufficient conditions for robust stability and state-feedback stabilization in terms of linear matrix inequalities (LMIs). We validate the obtained sufficient robust stability and stabilization conditions with numerical examples.