Title :
Parametric absolute stability of a class of singularly perturbed systems
Author :
Silva, Gerardo ; Dzul, Fabián A.
Author_Institution :
Centro de Investigacion y de Estudios Avanzados, IPN, Mexico City, Mexico
Abstract :
The aim of the paper is to analyze the so-called parametric stability for a class of singularly perturbed systems. This concept involves the presence of parameter variations on the model into the joint problem of existence and stability of perturbed equilibria. The main result deals with the parametric absolute stability of a parameterized family of singularly perturbed systems, using comparison principles, vector Lyapunov functions and two-time scale stability analysis. A simple example is given
Keywords :
Lyapunov methods; absolute stability; control system analysis; singularly perturbed systems; comparison principles; parametric absolute stability; perturbed equilibria; singularly perturbed systems; two-time scale stability analysis; vector Lyapunov functions; Context modeling; Lyapunov method; Nonlinear systems; Robust stability; Robustness; Stability analysis; Uncertainty;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758486
