Title :
Problem of optimal control of moving sources for systems with distributed parameters
Author_Institution :
Azerbaijan Teachers Inst., Sumgait, Azerbaijan
Abstract :
A problem on optimal control of processes described by totality of a parabolic type equation and ordinary differential equation with moving sources is investigated in the paper. In spite of applied importance of problems with moving sources controls, at present they have not been studied enough. A theorem on existence and uniqueness of the solution is solved for the optimal control, sufficients conditions of Frechet differentiability of quality test and an expression for its gradient are obtained, necessary conditions of optimality in the form of point wise and integral maximum principles are established for an optimal control problem considered in the work.
Keywords :
differential equations; distributed control; gradient methods; integral equations; maximum principle; parabolic equations; Frechet differentiability; distributed parameters; gradient expression; integral maximum principle; moving sources control; optimal control; optimality condition; ordinary differential equation; parabolic type equation; point wise maximum principle; quality test; sufficients condition; maximum principles; moving sources; necessary conditions of optimality; reduced problem;
Conference_Titel :
Problems of Cybernetics and Informatics (PCI), 2012 IV International Conference
Conference_Location :
Baku
Print_ISBN :
978-1-4673-4500-2
DOI :
10.1109/ICPCI.2012.6486435
