DocumentCode
2461114
Title
Lyapunov functions under LaSalle conditions with an application to Lotka-Volterra systems
Author
Mazenc, Frédéric ; Malisoff, Michael
Author_Institution
Projet MERE INRIA-INRA, INRA, Montpellier, France
fYear
2009
fDate
10-12 June 2009
Firstpage
96
Lastpage
101
Abstract
We provide new techniques for building explicit global strict Lyapunov functions for broad classes of time varying nonlinear systems satisfying LaSalle conditions. Our new constructions are simpler than the designs available in the literature. We illustrate our work using the Lotka-Volterra model, which plays a fundamental role in bioengineering.
Keywords
Lyapunov methods; nonlinear control systems; time-varying systems; LaSalle conditions; Lotka-Volterra systems; explicit global strict Lyapunov functions; time varying nonlinear systems; Asymptotic stability; Biomedical engineering; Buildings; Control systems; Lyapunov method; Noise robustness; Nonlinear control systems; Nonlinear systems; Robust stability; Time varying systems;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2009. ACC '09.
Conference_Location
St. Louis, MO
ISSN
0743-1619
Print_ISBN
978-1-4244-4523-3
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2009.5159956
Filename
5159956
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