relation: https://khub.utp.edu.my/scholars/2254/
title: Conditions for stabilizability of linear switched systems
creator: Minh, V.T.
creator: Awang, M.
creator: Parman, S.
description: This paper investigates some conditions that can provide stabilizability for linear switched systems with polytopic uncertainties via their closed loop linear quadratic state feedback regulator. The closed loop switched systems can stabilize unstable open loop systems or stable open loop systems but in which there is no solution for a common Lyapunov matrix. For continuous time switched linear systems, we show that if there exists solution in an associated Riccati equation for the closed loop systems sharing one common Lyapunov matrix, the switched linear systems are stable. For the discrete time switched systems, we derive a Linear Matrix Inequality (LMI) to calculate a common Lyapunov matrix and solution for the stable closed loop feedback systems. These closed loop linear quadratic state feedback regulators guarantee the global asymptotical stability for any switched linear systems with any switching signal sequence. © 2011 Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag Berlin Heidelberg.
date: 2011
type: Article
type: PeerReviewed
identifier:   Minh, V.T. and Awang, M. and Parman, S.  (2011) Conditions for stabilizability of linear switched systems.  International Journal of Control, Automation and Systems, 9 (1).  pp. 139-144.  ISSN 15986446     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-79951688520&doi=10.1007%2fs12555-011-0118-2&partnerID=40&md5=15812a46b4d04d4144d7dfe9f457acf3
relation: 10.1007/s12555-011-0118-2
identifier: 10.1007/s12555-011-0118-2