Stability analysis of discrete-time switched systems with time-varying delays via a new summation inequality. (February 2017)

• Record Type: Journal Article
• Authors: Park, M.J.; Kwon, O.M.; Choi, S.G.
• Is Part Of: Nonlinear analysis. Volume 23(2017)
• Page Start: 76
• Page End: 90
• Publication Date: 2017-02
• Subjects: Systems with time-delays -- Switching -- Stability analysis -- Lyapunov method; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.08.001
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper proposes a new summation inequality, which improves the conservatism in the stability analysis for discrete-time systems with time-varying delay. In order to show the effectiveness of the proposed inequality, which provides general lower bound of the summation quadratic term of the form ∑ s = a b x T ( s ) M x ( s ), a delay-dependent stability criterion for such systems is derived within the framework of linear matrix inequalities (LMIs). Going one step forward, the proposed inequality is applied to a stability problem in discrete-time switched systems with time-varying delays. The advantages of employing the proposed summation inequality are illustrated via three numerical examples.