Title :
Lyapunov characterisations of input-output-to-state stability
Author :
Krichman, Mikhail ; Sontag, Eduardo D. ; Wang, Yuan
Author_Institution :
Dept. of Math., Rutgers Univ., NJ, USA
Abstract :
This paper explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function
Keywords :
Lyapunov methods; nonlinear systems; stability; Lyapunov characterisations; input-output-to-state stability; natural generalization; nonlinear systems; standard detectability property; Asymptotic stability; Control systems; Force measurement; Linear systems; Lyapunov method; Mathematics; Nonlinear control systems; Nonlinear systems;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.831224
