DocumentCode
3008730
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
Volume
2
fYear
1995
fDate
13-15 Dec 1995
Firstpage
1330
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
0-7803-2685-7
Type
conf
DOI
10.1109/CDC.1995.480283
Filename
480283
Link To Document