Title :
Various results concerning set input-to-state stability
Author :
Yuandan Lin ; Sontag, Eduardo ; Wang, Yuan
Author_Institution :
Dept. of Math., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
Regarding the input-to-state stability (ISS) property, we extend it to arbitrary closed invariant sets various results which were previously known for the case of equilibria. In particular, we show the equivalence between stabilizability and feedback equivalence to ISS systems. In addition for the compact attractor case, we provide Lyapunov and dissipation-theoretic characterizations, and we relate this case to the notion of “practical” ISS (ISpS), a notion which appears in the context of small-gain theorems
Keywords :
Lyapunov methods; feedback; input-output stability; invariance; set theory; state-space methods; Lyapunov theory; closed invariant sets; compact attractor; dissipation-theory; feedback equivalence; input-to-state stability; small-gain theorems; stabilizability; state space method; Control systems; Gain; Linear systems; Lyapunov method; Mathematics; Q measurement; Robust control; Stability; State feedback; Trajectory;
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.1995.480283
