International Journal of Control, Vol.90, No.7, 1299-1307, 2017
Analogue of the Kelley condition for optimal systems with retarded control
In this paper, we consider an optimal control problem with retarded control and study a larger 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:Singular control;optimal control;variation transform method;Legendre polynomial;Kelley type optimality condition;equality type optimality condition