Abstract
In the paper the exponential stability and exponential estimation of the norm 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 , … is studied, where A , B are square constant matrices and m ∈ N . New sufficient conditions for exponential stability are derived using the method of Lyapunov functions. Illustrative examples are given as well.
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