Finite-dimensional approximations of neutral-type conflict-controlled systems

Abstract

The paper deals with a dynamical system described by a neutral-type functional differential equation in Hale's form which is controlled under conditions of unknown disturbances. This system is approximated by a controlled system of ordinary differential equations. An aiming procedure between the initial and approximating systems is elaborated. An application of such procedure is given for solving a control problem for linear neutral-type dynamical systems. An illustrative example is considered, simulation results are shown. © 2017