Title :
Relaxed sufficient conditions for the stability of continuous and discrete-time linear time-varying systems
Author :
Jetto, Leopoldo ; Orsini, Valentina
Author_Institution :
Univ. Polytech. delle Marche, Ancona
Abstract :
This paper states new sufficient conditions for the uniform asymptotic stability of linear time-varying (LTV) systems. The approach proposed derives and uses the notion of perturbed frozen time (PFT) form that can be associated to any LTV system. Exploiting the Bellman-Gronwall lemma, relaxed stability conditions are then stated in terms of "average" parameter variations. Numerical comparisons with other methods are reported.
Keywords :
asymptotic stability; continuous time systems; discrete time systems; linear systems; perturbation techniques; time-varying systems; Bellman-Gronwall lemma; asymptotic stability; average parameter variations; continuous-time linear time-varying system stability; discrete-time linear time-varying system stability; perturbed frozen time form; relaxed stability conditions; relaxed sufficient conditions; Asymptotic stability; Control systems; Eigenvalues and eigenfunctions; Sufficient conditions; Time varying systems; US Department of Transportation; Upper bound;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434135
