Frequency domain stability of nonlinear feedback systems with unbounded input operator

Authors
Bucci, F
Citation
F. Bucci, Frequency domain stability of nonlinear feedback systems with unbounded input operator, DYN C D I S, 7(3), 2000, pp. 351-368
Citations number
21
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS
ISSN journal
12013390 → ACNP
Volume
7
Issue
3
Year of publication
2000
Pages
351 - 368
Database
ISI
SICI code
1201-3390(200009)7:3<351:FDSONF>2.0.ZU;2-X
Abstract
We give a criterion for equiasymptotic stability in the whole of a class of holomorphic semigroup systems with nonlinear boundary feedback, under a fr equency domain condition. The Lyapunov function for the closed loop is obta ined via an arbitrary solution to the dissipation inequality arising in qua dratic regulator problems with indefinite cost functional.