Impulsive Markov jump linear systems: Stability analysis and H2 control. (November 2021)

• Record Type: Journal Article
• Authors: Souza, Matheus; Fioravanti, André R.; Araujo, Vanessa S.P.
• Is Part Of: Nonlinear analysis. Volume 42(2021)
• Publication Date: 2021-11
• Subjects: Stochastic systems -- Impulsive systems -- Linear systems -- Convex optimisation; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2021.101089
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this work, we present an impulsive Markov jump linear system model. We show how the present model generalises previous works from the literature, and we devise necessary and sufficient conditions for stability and performance, together with mode-dependent state-feedback control design conditions for such systems. An applied example shows how the developed theory can be used to control strategies under actuator and sensor failures.