Title :
Stability margins and Lyapunov equations for linear operators in Hilbert space
Author :
Gahinet, P. ; Sorine, M. ; Laub, A.J. ; Kenney, C.
Author_Institution :
INRIA, Le Chesnay, France
Abstract :
The finite dimension concept of stability radius for linear time-invariant initial value problems is extended to semigroups in Hilbert space. The connection between stability robustness and the sensitivity of the Lyapunov equation is established. The issue of robust stability in the face of bounded additive perturbations of the semigroup generator is addressed
Keywords :
Lyapunov methods; group theory; initial value problems; stability criteria; Hilbert space; Lyapunov equations; bounded additive perturbations; finite dimension concept; linear operators; linear time-invariant initial value problems; semigroups; stability margins; stability radius; Differential equations; Hilbert space; Lyapunov method; Robust stability; Sufficient conditions;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203444
