Special Session 41: 

Necessary and sufficient optimality conditions for an optimal control problem involving a fractional control system of different orders.

Rafal Kamocki
University of Lodz
Poland
Co-Author(s):    
Abstract:
In this talk we consider an optimal control problem consists of a nonlinear control system involving the Caputo derivatives of different orders and an integral cost functional. In the first part, we formulate the necessary optimality conditions (Pontryagin maximum principle) for such a problem. Next, we study an existence of optimal solutions and finally, we present a simple theoretical example which illustrates obtained results.