Optimal Control for Integrodifferential Equations of Parabolic Type

Quadratic control problems for integrodifferential equations of parabolic type are considered. A state-space representation of the system is obtained by choosing an appropriate product space. By using the standard method based on Riccati equation, a unique optimal control over a finite horizon and under a stabilizability condition is obtained and the quadratic problem over an infinite horizon is solved. It is shown that the approach is also valid for some integrodifferential equations of different types. Two examples covered by the model are given.