Title :
Existence of a common quadratic lyapunov function for discrete switched linear systems with m stable subsystems
Author :
Sun, Chao ; Fang, B. ; Huang, Wei
Author_Institution :
Sch. of Astronaut., Harbin Inst. of Technol., Harbin, China
Abstract :
The problem on the existence of a common quadratic Lyapunov function (CQLF) for discrete switched linear systems with m stable subsystems is considered. System matrices are Schur stable. A necessary condition for the existence of a CQLF and a sufficient condition for the non-existence of a CQLF are derived, respectively. Numerical examples are presented to illustrate the results.
Keywords :
Lyapunov methods; discrete systems; linear systems; matrix algebra; stability; Schur stable system matrix; common quadratic Lyapunov function; discrete switched linear system; m stable subsystem;
Journal_Title :
Control Theory & Applications, IET
DOI :
10.1049/iet-cta.2010.0271
