Title :
Necessary conditions for optimality for infinite dimensional strongly nonlinear control problems
Author :
Ahmed, N.U. ; Xiang, X.
Author_Institution :
Dept. of Electr. Eng., Ottawa Univ., Ont., Canada
Abstract :
A class of optimal control problems for systems governed by nonlinear evolution equations with nonmonotone perturbation under control constraints is studied. Using techniques and results from relaxation theory, it is possible to derive necessary conditions for optimality and obtain a Pontryagin minimum principle. The authors´ proof is based on a series of Lemmas leading to the main theorem
Keywords :
multidimensional systems; nonlinear control systems; optimal control; perturbation techniques; relaxation theory; Lemmas; Pontryagin minimum principle; infinite dimensional strongly nonlinear control; necessary conditions; nonlinear evolution equations; nonmonotone perturbation; optimal control; relaxation theory; Control systems; Councils; Hilbert space; Mathematics; Nonlinear control systems; Nonlinear equations; Optimal control; Topology;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371045
