Nonlinear Fractional Optimal Control: Theory and Numerical Computation (Springer Optimization and Its Applications, 237)

Fractional optimal control problems (FOCPs) are a generalization of the conventional optimal control problems of integer order in the sense that the dynamics are governed by fractional systems. FOCPs arise in many fields such as mathematics, engineering, biology, economics, finance and management.It is often impossible to obtain analytical solutions of nonlinear FOCPs in general.Thus, establishing optimization theory and finding effective numerical methods for nonlinear FOCPs have become an active research topic.In this book, we will investigate the optimality theories and numerical solution methods of a variety of nonlinear FOCPs including delay nonlinear FOCP, free final time nonlinear FOCP, robust nonlinear FOCP, nonlinear FOCPs with Atangan-Baleanu derivatives and nonlinear FOCPs with conformable derivatives. Numerical solution of fractional optimal control has been an emerging research topic which has attracted much attention in the past few years from both researchers and practit