Common diagonal Lyapunov function for third order linear switched system

Buyukkoroglu T.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.236, no.15, pp.3647-3653, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 236 Issue: 15
  • Publication Date: 2012
  • Doi Number: 10.1016/j.cam.2011.06.013
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3647-3653
  • Keywords: Asymptotic stability, Switched linear systems, Common diagonal Lyapunov function, Subgradient, STABILITY
  • Anadolu University Affiliated: Yes

Abstract

Consider the stability problem for the following linear switched system (differential inclusion) (x) over dot = Ax, A is an element of {A1, A2, . . . , A(N)}. Here A(i) (i = 1, 2, . . . . N) are n x n dimensional Hurwitz stable real matrices. In this study for this system we investigate the problem of the existence and construction of a common diagonal Lyapunov function of the form