Title :
Optimal control problem for impulsive systems with integral boundary conditions
Author :
Sharifov, Y. ; Mammadova, N.
Author_Institution :
Cybern. Inst. of ANAS, Baku State Univ., Baku, Azerbaijan
Abstract :
In this paper the optimal control problem is considered, when the state of the system is described by the impulsive differential equations with integral boundary conditions. By the help of the Banach contraction principle the existence and uniqueness of solution is proved for the corresponding boundary problem by the fixed admissible control. The first variation of the functional is calculated. Various necessary conditions of optimality of the first order are obtained by the help of the variation of the controls.
Keywords :
Banach spaces; differential equations; optimal control; Banach contraction principle; admissible control; corresponding boundary problem; first order necessary optimality conditions; impulsive differential equations; impulsive systems; integral boundary conditions; optimal control problem; existence and uniqueness of the solution; integral boundary conditions; optimal control problem; singular control;
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.2012.6486434
