instability; sum of squares; homogeneous hybrid systems
Abstract :
[en] For a class of homogeneous hybrid systems we present a generalization to the hybrid systems framework of Chetaev's theorem and we propose a set of Lyapunov-like conditions for studying instability of the point x e = 0 and overshoots of solutions (namely when the norm of the solution vector x at some time instant exceeds the norm of the initial condition of x). Based on these results, we design a sum of squares algorithm that constructs a suitable Lyapunov-like function to fulfill such conditions.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Forni, Fulvio ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Teel, Andrew; UC Santa Barbara, CA > Electrical and Computer Engineering (ECE)
Language :
English
Title :
Instability and Overshoots of Solutions For A Class of Homogeneous Hybrid Systems By Lyapunov-like Analysis
Publication date :
2010
Event name :
49th IEEE Conference on Decision and Control (CDC), 2010
Event date :
12/2010
Audience :
International
Main work title :
49th IEEE Conference on Decision and Control (cdc 2010)
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