Special Session 30: Optimal Control of Finite and Infinite Dimensional Dynamic Systems and their Applications

Necessary optimality conditions for a fractional integro-differential optimal control problem.

Rafal Kamocki
University of Lodz
Poland
Co-Author(s):    
Abstract:
In this talk, we shall study an optimal control problem of a Lagrange type in which a control system is described by a nonlinear and singular integro-differential equation of Volterra type with a Caputo derivative. The necessary optimality conditions for the considered problem are derived. The posed problem is investigated using an extremum principle for smooth problems.