Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms.
Stability analysis of discrete Hopfield neural networks with the nonnegative definite monotone increasing weight function matrix.
Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays.
Stability in discrete equations with variable delays.
Stability in linear neutral difference equations with variable delays
In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005).
Stability of difference equations and applications to robustness problems.
Stability of nonlinear autonomous quadratic discrete systems in the critical case.
Stability of nonlinear -difference systems with fractional orders
In the paper we study the subject of stability of systems with -differences of Caputo-, Riemann-Liouville- and Grünwald-Letnikov-type with fractional orders. The equivalent descriptions of fractional -difference systems are presented. The sufficient conditions for asymptotic stability are given. Moreover, the Lyapunov direct method is used to analyze the stability of the considered systems with -orders.
Stability problems for linear differential and difference systems
In this paper, there are derived sufficient conditions for exponential and asymptotic stability of differential and difference systems.
Stability results for a class of difference systems with delay.