The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case

Authors
Bucci, F Pandolfi, L
Citation
F. Bucci et L. Pandolfi, The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case, SYST CONTR, 39(2), 2000, pp. 79-86
Citations number
18
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
SYSTEMS & CONTROL LETTERS
ISSN journal
01676911 → ACNP
Volume
39
Issue
2
Year of publication
2000
Pages
79 - 86
Database
ISI
SICI code
0167-6911(20000215)39:2<79:TRPWIQ>2.0.ZU;2-Z
Abstract
In this paper we study the finite horizon non-standard LQ-problem for an ab stract dynamics, which models a large class of hyperbolic-like partial diff erential equations. We provide necessary/sufficient conditions for finitene ss of the value function corresponding to the control problem. Sharpness of sufficient conditions is shown by means of counterexamples. The specific f eatures of the finite, in contrast to infinite, horizon case are illustrate d. (C) 2000 Elsevier Science B.V. All rights reserved.