Steering Control of Semilinear Discrete Dynamical System

Abstract

In this paper, we investigate the controllability property of a class of semilinear non-autonomous system described by the difference equation x(t+1)=A(t )x(t )+B(t )u(t )+f (t ,x(t )), t 2 N0 ={0,1,2, . . .} under the assumption that its linear part is controllable and the nonlinear function f satisfies Lipschitz condition. We also give an algorithm to compute steering control for the above system. Numerical example is given to illustrate the result.