A novel sufficient condition is developed to obtain the discrete-time analogues of cellular neural network CNN with periodic coefficients in the three-dimensional space. Existence and global stability of a periodic solution for the discrete-time cellular neural network DT-CNN are analysed by utilizing continuation theorem of coincidence degree theory and Lyapunov stability theory, respectively....

  This paper concerns the problem of robust stabilization of uncertain fractional-order non-autonomous systems. In this regard, a single input active control approach is proposed for control and stabilization of three-dimensional uncertain fractional-order systems. The robust controller is designed on the basis of fractional Lyapunov stability theory. Furthermore, the effects of model uncertai...

Non-negative definite Lyapunov functionals are employed to obtain sufficient conditions that guarantee exponential stability of the zero solution of a nonlinear discrete system. The theory is illustrated with several examples.

This paper studies the asymptotic stability problem for a class of uncertain impulsive switched systems with discrete and distributed delays. Based on Lyapunov functional theory, delay-dependent sufficient LMI conditions are established for the asymptotic stability of the considered systems. Moreover, an appropriate feedback controller is constructed for stabilizing the corresponding closed-loo...

In this paper, an impulsive control approach is presented for the projective synchronization of two different chaotic Hopfield-type discrete-time neural networks with delays. The global asymptotic stability of the error dynamical system is studied, using linear matrix inequalities, vector Lyapunov functions and the stability theory of impulsive systems. Simulation examples are given to illustra...

In this paper, firstly, we propose a complex dynamical network model, which is always uniformly asymptotically stable about its equilibrium. Then, we give theoretical analysis of its uniform asymptotical stability by using Lyapunov stability theory. Finally, we show a numerical example to verify our theoretical result. r 2006 Elsevier B.V. All rights reserved.