Title :
A-stable Padé approximations and quadratic stability
Author :
Sajja, S. ; Corless, Martin ; Shorten, Robert
Author_Institution :
Hamilton Inst., NUI Maynooth, Maynooth, Ireland
Abstract :
In this paper we prove that all A-stable Padé approximations for the matrix exponential preserve common quadratic Lyapunov functions for switched linear systems.
Keywords :
Lyapunov matrix equations; approximation theory; continuous time systems; linear systems; stability; A-stable Padé approximations; matrix exponential preserve common quadratic Lyapunov functions; quadratic stability; switched linear systems; Approximation methods; Linear systems; Lyapunov methods; Numerical stability; Stability analysis; Switched systems; Switches;
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
Print_ISBN :
978-1-4799-0177-7
DOI :
10.1109/ACC.2013.6579811
