Title :
Cascade lemma for set-stable systems
Author :
Tjonnas, J. ; Chaillet, Antoine ; Panteley, Elena ; Johansen, Tor Arne
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim
Abstract :
A previous result about uniform global asymptotic stability (UGAS) of the equilibrium of a cascaded time-varying systems, is here also shown to hold for closed (not necessarily compact) sets composed by set-stable subsystems of a cascade. In view of this result an optimal control allocation approach is discussed
Keywords :
asymptotic stability; cascade systems; set theory; time-varying systems; cascade lemma; cascaded time-varying systems; optimal control; set-stable systems; uniform global asymptotic stability; Asymptotic stability; Control systems; Cybernetics; Nonlinear systems; Optimal control; Stability analysis; Time varying systems; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376841
