Title :
Gain preserving Lyapunov functions for perturbed and controlled systems
Author_Institution :
Fachbereich Math., Johann Wolfgang Goethe Univ., Frankfurt, Germany
Abstract :
We present Lyapunov function characterizations for variants of the input-to-state stability property, which do not only imply the qualitative properties but also represent the robustness gains and attraction rates.
Keywords :
Lyapunov methods; asymptotic stability; controllability; nonlinear systems; partial differential equations; Lyapunov function characterizations; asymptotic stability; attraction rates; controllability; gain preserving Lyapunov functions; input-to-state stability; nonlinear systems; partial differential inequality; robustness; Asymptotic stability; Control systems; Controllability; Differential equations; Feedback; Lyapunov method; Nonlinear systems; Robust stability; Stability analysis; Sufficient conditions;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184587
