Bilinear optimal control of the velocity term in a Kirchhoff plate equation

Authors
Bradley, ME Lenhart, S Yong, JM
Citation
Me. Bradley et al., Bilinear optimal control of the velocity term in a Kirchhoff plate equation, J MATH ANAL, 238(2), 1999, pp. 451-467
Citations number
23
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
238
Issue
2
Year of publication
1999
Pages
451 - 467
Database
ISI
SICI code
0022-247X(19991015)238:2<451:BOCOTV>2.0.ZU;2-V
Abstract
We consider a bilinear optimal control problem where the state equation is a Kirchhoff plate equation. The control acts as a multiplier of the velocit y term. We prove the existence of an optimal control in a class h is an ele ment of U-M = {h is an element of L-infinity(0, T); -M less than or equal t o h(t) less than or equal to M} and uniqueness of this optimal control for T sufficiently small. (C) 1999 Academic Press.