The necessary conditions for finite horizon time varying order optimal control of Caputo systems.

This article presents a general solution scheme for finite horizon optimal control of variable order Caputo dynamic systems with specified initial and final conditions. The main approach of the article is using variable order calculus of variations. After deriving the necessary optimality conditions, as the main contribution of the article, a change of variable is used to rearrange the set of conditions as a set of coupled variable order differential equations. Then, a numerical method is introduced to solve the corresponding equations. Finally, a case study shows the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]