Problem of optimal route determining for linear systems with fixed horizon

Abstract

The routing problem of linear system is investigated in this paper. The linear quadratic control problem was reduced to determine the optimal trajectory (way, track, path), which must be tracked by linear system.The general aim of optimal route determining consists of minimization of composite cost function. Moreover, it is compared to the optimal controls for the classical task (LQC) and the task of optimal path determining. To illustrate those controls and track a numerical example is included.