Optimal Control of Integro-Differential Equations with Infinite Delay
The optimal control problem for a class of integro-differential equations with infinite delay and instan-taneous impulse is studied.By using fractional power operator,phase space theory,Gronwall's inequality and fixed point theorem,the sufficient conditions for the existence of solutions in space are obtained,and then the sufficient conditions for the optimal control of the integral cost function are given by using the minimization sequence.