Abstract
This paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delayx(k+1)=Ax(k)+Bx(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.
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