Nonlinear boundary control of semilinear parabolic systems

Author

Ahmed, N.U. ; Xiang, X.

Author_Institution

Dept. of Electr. Eng. & Math., Ottawa Univ., Ont., Canada

Volume

2

fYear

1995

fDate

13-15 Dec 1995

Firstpage

1887

Abstract

The authors report some of their results on nonlinear infinite dimensional boundary control problems (1995). Existence of optimal (boundary) controls is proved using the theory of measurable selections and Cesari property for multifunctions. Three results are presented covering relaxed controls and controls with state constraints. This generalizes in a substantial way existing results on linear boundary control problems. The result presented can be further extended to differential inclusions. Two examples are presented

Keywords

distributed parameter systems; multidimensional systems; nonlinear control systems; Cesari property; differential inclusions; measurable selections; multifunctions; nonlinear boundary control; nonlinear infinite-dimensional boundary control problems; optimal controls; relaxed controls; semilinear parabolic systems; state constraints; Control systems; Ear; Manufacturing; Mathematics; Nonlinear control systems; Nonlinear equations; Optimal control; Partial differential equations; Steel; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.480619

Filename

480619