Title :
Systematic construction of Lyapunov functions for nonlinear systems in critical cases
Author :
Schwartz, Carla A. ; Yan, Aiguo
Author_Institution :
Dept. of Electr. & Comput. Eng., Florida Univ., Gainesville, FL, USA
Abstract :
In this paper the local stability and stabilizability of fairly general classes of smooth nonlinear systems are analyzed using normal form methods. A brief comparison is made between normal form and center manifold methods. A new procedure for constructing a Lyapunov function for a locally asymptotically stable nonlinear system is presented. These ideas are also used for finding a smooth locally stabilizing state feedback for a nonlinear control system
Keywords :
Lyapunov methods; asymptotic stability; nonlinear control systems; state feedback; Lyapunov functions; center manifold methods; local stability; local stabilizability; locally asymptotically stable nonlinear system; nonlinear control system; normal form methods; smooth locally stabilizing state feedback; smooth nonlinear systems; Asymptotic stability; Computer aided software engineering; Control systems; Eigenvalues and eigenfunctions; Lyapunov method; Manifolds; Nonlinear control systems; Nonlinear systems; Stability analysis; State feedback;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.479185
