Reference : Stability For A Class of Homogeneous Hybrid Systems By Annular Lyapunov Analysis
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/2268/107767
Stability For A Class of Homogeneous Hybrid Systems By Annular Lyapunov Analysis
English
Forni, Fulvio[Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation]
Teel, Andrew[UC Santa Barbara, Ca > Electrical and Computer Engineering (ECE) > > >]
2010
49th IEEE Conference on Decision and Control (cdc 2010)
No
International
978-1-4244-7745-6
49th IEEE Conference on Decision and Control, 2010
12/2010
[en] stability ; sum of squares ; homogeneous hybrid systems
[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.
[Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation]
