The Control Problem for Stepwise Changing Linear Systems of Loaded Differential Equations with Unseparated Multipoint Intermediate Conditions

Abstract

The control problem for stepwise changing linear systems of loaded differential equations with given initial, final, and nonseparated (non-local) multipoint intermediate conditions and optimal control with a quality criterion specified for the entire time interval is considered. The necessary and sufficient condition for the complete controllability, the conditions for the existence of programmed control and motion, are formulated. An explicit form of control action is constructed for the control problem, and a method for solving the optimal control problem is proposed.