Title :
A remark on integral input to state stability
Author :
Angeli, David ; Sontag, E.D. ; Wang, Yuan
Author_Institution :
Dipt. Sistemi e Inf., Florence Univ., Italy
Abstract :
Integral input to state stability (IISS) is a notion which generalizes the concept of finite gain with respect to integral norms, in the same manner that input to state stability (ISS) generalizes the idea of finite gain with respect to supremum norms. This paper provides a necessary and sufficient characterization of the IISS property, stated in dissipation terms. It also provides a LaSalle-type invariance principle for ISS
Keywords :
Lyapunov methods; invariance; nonlinear systems; stability; LaSalle-type; Lyapunov method; finite gain; integral input to state stability; integral norms; invariance principle; necessary condition; nonlinear stabilisation; sufficient condition; supremum norms; Control systems; Extraterrestrial measurements; Gain; Integral equations; Lyapunov method; Mathematics; Robustness; Stability; Sufficient conditions; Terminology;
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.1998.757800
