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Author Yuandan Lin ♦ Sontag, E. ♦ Yuan Wang
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1995
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Stability ♦ Mathematics ♦ Control systems ♦ Linear systems ♦ Gain ♦ Robust control ♦ State feedback ♦ Lyapunov method ♦ Q measurement ♦ Trajectory
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.
Description Author affiliation: Dept. of Math., Florida Atlantic Univ., Boca Raton, FL, USA (Yuandan Lin)
ISBN 0780326857
ISSN 01912216
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1995-12-13
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 659.68 kB
Page Count 6
Starting Page 1330
Ending Page 1335

Source: IEEE Xplore Digital Library