Title :
A result on the existence of common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems
Author :
Mason, Oliver ; Shorten, Robert
Author_Institution :
Hamilton Inst., Nat. Univ. of Ireland, Maynooth, Ireland
Abstract :
This paper deals with the existence of weak and strong common quadratic Lyapunov functions (CQLFs) for pairs of stable discrete-time linear time-invariant (LTI) systems. The main result of the paper provides a simple characterization of pairs of such systems for which a weak CQLF of a given form exists but for which no strong CQLF exists. An application of this result to second order discrete-time LTI systems is presented.
Keywords :
Lyapunov methods; discrete time systems; linear systems; common quadratic Lyapunov functions; discrete-time linear time invariant-systems; second order LTI systems; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1240545
