STABILIZATION OF INFINITE-DIMENSIONAL SEMILINEAR SYSTEMS WITH DISSIPATIVE DRIFT

Authors
BOUNIT H HAMMOURI H
Citation
H. Bounit et H. Hammouri, STABILIZATION OF INFINITE-DIMENSIONAL SEMILINEAR SYSTEMS WITH DISSIPATIVE DRIFT, Applied mathematics & optimization, 37(2), 1998, pp. 225-242
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics & optimization → ACNP
ISSN journal
00954616
Volume
37
Issue
2
Year of publication
1998
Pages
225 - 242
Database
ISI
SICI code
0095-4616(1998)37:2<225:SOISSW>2.0.ZU;2-3
Abstract
In this paper we study feedback stabilization for distributed semiline ar control systems (x) over dot(t) = Ax(t) + u(t)B(x(t)). Here, A is t he infinitesimal generator of a linear Co-semigroup of contractions on a real Hilbert space H and B is a nonlinear operator on H into itself . A sufficient ad-condition is provided for strong feedback stabilizat ion, The result is illustrated by means Of partial differential system s.