This paper is concerned with the problem of stability analysis for delayed linear discrete-time
systems (DLDTSs). In order to obtain the necessary and sufficient criteria of exponential …

In the present paper, a system of nonhomogeneous linear difference equations with any
finite number of constant delays and linear parts given by pairwise permutable matrices is …

In this paper, we make first attempt to investigate exponential stability for quaternion-valued
impulsive delay difference systems. By employing Lyapunov methods and quaternion …

This paper is concerned with the pth moment exponential stability of stochastic coupled
systems with time delays and time-varying coupling structure (SCTVCS). The coupling …

The problem of exponential stability of delayed discrete systems with multiple delays x (n+
1)=(I+ A) x (n)+∑ i= 1 s B ix (n− i), n= 0, 1,… is studied, where x=(x 1 x 2… xm) T is an …

In this paper, we introduce a modified delayed perturbation of discrete matrix exponential for
impulsive linear discrete delay systems with non-permutable matrices. Using the Z-transform …

The paper considers the problem of exponential stability and convergence rate to solutions
of perturbed linear discrete homogeneous systems. New criteria on exponential stability are …

We examine the local stability of solutions of a delay stochastic nonlinear difference
equation with deterministic and state-dependent Gaussian perturbations. We apply the …

This paper is concerned with the exponential stability analysis of linear delay difference
systems. Firstly, a set of weighted discrete orthogonal polynomials (WDOPs) is established …

In this paper, we consider the stability and exponential stability of complex-valued discrete
linear system with delay. By employing complex-valued Lyapunov matrix equation and …