Title of article :
Kelley type Necessary Condition in Dynamic Systems with a Delay in Control
Author/Authors :
Malik, Samin T. Institute of Mathematics and Mechanics of ANAS, Baku, Azerbaijan
Abstract :
In this paper, we consider an optimal control problem with delay in control which the admissible controls are not fixed at the initial set and study a class of singular (in the classical sense) controls.
The Kelley and equality type optimality conditions are obtained. To prove our main results, we use the
Legendre polynomials as variations of control.
Keywords :
Optimal control , singular control , variation transform method , Legendre polynomial , Kelley type optimality condition , equality type optimality condition
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
