Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay

摘要

The paper is concerned with linear systems of difference equations with single delay x(k+1)=Ax(k)+Bx(k-m),k=0,1,...x(k+1)=Ax(k)+Bx(k-m),k=0,1,... where A, B are square constant matrices and m ∈ N. Exponential-type estimates for solutions are derived by the method of Lyapunov functions. Results are illustrated by examples.