Title :
Remarks on the relationship between ℒp stability and internal stability of nonlinear systems
Author :
Xu Wang ; Grip, H.F. ; Saberi, A. ; Stoorvogel, A.A. ; Saberi, I.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
fDate :
June 29 2011-July 1 2011
Abstract :
In this paper, we investigate the relationship be tween ℒp stability and internal stability of nonlinear systems. It is shown that under certain conditions, ℒp stability without finite gain implies attractivity of the equilibrium, and that local ℒp stability with finite gain implies local asymptotic stability of the origin.
Keywords :
asymptotic stability; nonlinear control systems; finite gain; internal stability; local asymptotic stability; nonlinear systems; Asymptotic stability; Electrical engineering; Electronic mail; Lyapunov methods; Nonlinear systems; USA Councils;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5991498