Title :
Nonlinear boundary control of semilinear parabolic systems
Author :
Ahmed, N.U. ; Xiang, X.
Author_Institution :
Dept. of Electr. Eng. & Math., Ottawa Univ., Ont., Canada
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480619
