INPUT DYNAMICS AND NONSTANDARD RICCATI-EQUATIONS WITH APPLICATIONS TOBOUNDARY CONTROL OF DAMPED WAVE AND PLATE EQUATIONS

Authors
LASIECKA I LUKES D PANDOLFI L
Citation
I. Lasiecka et al., INPUT DYNAMICS AND NONSTANDARD RICCATI-EQUATIONS WITH APPLICATIONS TOBOUNDARY CONTROL OF DAMPED WAVE AND PLATE EQUATIONS, Journal of optimization theory and applications, 84(3), 1995, pp. 549-574
Citations number
18
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
84
Issue
3
Year of publication
1995
Pages
549 - 574
Database
ISI
SICI code
0022-3239(1995)84:3<549:IDANRW>2.0.ZU;2-U
Abstract
An optimization problem for a control system governed by an analytic g enerator with unbounded control actions is considered. The solution to this problem is synthesized in terms of the Riccati operator, arising from a nonstandard Riccati equation. Solvability and uniqueness of th e solutions to this Riccati equation are established. This theory is a pplied to a boundary control problem governed by damped wave and plate equations.