Title :
An extension of the maximum principle for a class of optimal control problems in infinite dimensional spaces
Author :
Basile, N. ; Mininni, M.
Author_Institution :
Dept. of Math., Bari Univ., Italy
Abstract :
An extension is presented of the maximum principle and of the transversality conditions for a class of optimal control problems for a system consisting of a parabolic equation and an ordinary differential equation in a Hilber space. In particular, the authors consider the time-optimal problem for some of these systems. As an application they study the optimal control of the diffusion of a class of epidemics
Keywords :
biology; distributed parameter systems; maximum principle; multidimensional systems; Hilber space; biology; distributed parameter systems; epidemics diffusion; infinite dimensional spaces; maximum principle; multidimensional systems; optimal control; ordinary differential equation; parabolic equation; time-optimal control; transversality conditions; Control systems; Costs; Differential equations; Hilbert space; Integral equations; Optimal control;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70118
