Stability For A Class of Homogeneous Hybrid Systems By Annular Lyapunov Analysis

Forni, Fulvio; Teel, Andrew

doi:10.1109/CDC.2010.5717277

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Stability For A Class of Homogeneous Hybrid Systems By Annular Lyapunov Analysis

Forni, Fulvio; Teel, Andrew

2010 • In 49th IEEE Conference on Decision and Control (cdc 2010)

Peer reviewed

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https://hdl.handle.net/2268/107767

DOI
10.1109/CDC.2010.5717277

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Keywords :

stability; sum of squares; homogeneous hybrid systems

Abstract :

[en] For a class of homogeneous hybrid systems we present a set of annular Lyapunov-like conditions for inferring global pre-asymptotic stability of systems. Then, we prove that such conditions are mild, namely, that each globally pre-asymptotically stable system must satisfy them. Based on these results, we design a sum of squares algorithm that constructs a suitable Lyapunov-like function to fulfill such annular conditions. Finally, based on recent results on homogeneous approximations of hybrid systems, we point out that such conditions can also be used to deduce local pre-asymptotic stability for a wider class of hybrid systems.

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 :

Stability For A Class of Homogeneous Hybrid Systems By Annular Lyapunov Analysis

Publication date :

2010

Event name :

49th IEEE Conference on Decision and Control, 2010

Event date :

12/2010

Audience :

International

Main work title :

49th IEEE Conference on Decision and Control (cdc 2010)

ISBN/EAN :

978-1-4244-7745-6

Peer reviewed :

Peer reviewed

Available on ORBi :

since 12 January 2012

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Bibliography

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