Title :
On strict Lyapunov functions for rapidly time-varying nonlinear systems
Author :
Mazenc, Frédéric ; Malisoff, Michael ; De Queiroz, Marcio S.
Author_Institution :
UMR Analyse des Systemes et Biometrie, INRA, Montpellier
Abstract :
We explicitly construct Lyapunov functions for rapidly time-varying nonlinear systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are globally asymptotically stable. This leads to new sufficient conditions for global exponential, global asymptotic, and input-to-state stability of fast time-varying dynamics. We apply our results to two examples
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; time-varying systems; Lyapunov functions; exponential stability; global asymptotic stability; input-to-state stability; rapidly time-varying nonlinear systems; Asymptotic stability; Control systems; Lyapunov method; Mathematics; Mechanical engineering; Nonlinear systems; Sufficient conditions; Time varying systems;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1656563
