Stability and exponential stability of linear discrete systems with constant coefficients and single delay.

This paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay x ( k + 1 ) = A x ( k ) + B x ( k − m ) , k = 0 , 1 , … where A, B are square constant matrices and m ∈ N . Sufficient conditions for exponential stability are derived using the method of Lyapunov functions and its efficiency is demonstrated by examples. [ABSTRACT FROM AUTHOR]