In this paper, we investigate a class of stochastic shunting inhibitory cellular neural networks with time-varying delays. Applying integral inequality, some sufficient conditions on the existence and pexponential stability of periodic solutions for stochastic shunting inhibitory cellular neural networks with time-varying delays are established. An example is presented to illustrate our main th...

ABSTRACT This paper presents an application of dissipative concept for stability analysis of continuous-time system with two additive time-varying delays in the state. Our attention is focused on analysis of whether the continuous-time system with two additive time-varying delays in the state is asymptotically stable and dissipative. By exploiting LyapunovKrasovski functional and introducing fr...

In this paper, a generalized neural network of Cohen-Grossberg type with both discrete time-varying and distributed unbounded delays is considered. Based on M-matrix theory, sufficient conditions are established to ensure the existence and global attractivity of an equilibrium point. The global exponential stability of the equilibrium is also addressed but for the model with bounded discrete ti...

In this paper, a generalized model of fuzzy cellular neural networks (FCNN) with time-varying delays and impulses is investigated. By employing the delay differential inequality with impulses initial conditions and using the properties of M-cone and eigenspace of the spectral radius of nonnegative matrices, some sufficient conditions for global exponential stability of FCNN with time-varying de...

In this paper,the exponential passivity criteria for BAM neural networks with time-varying delays is studied.By constructing new Lyapunov-Krasovskii functional and dividing the delay interval into multiple segments,a novel sufficient condition is established to guarantee the exponential stability of the considered system.Finally,a numerical example is provided to illustrate the usefulness of th...

In this paper, a generalized model of impulsive neural networks with periodic coefficients and both time-varying and distributed delays is investigated. By employing analytic methods, inequality technique and M -matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of the periodic oscillatory solution for impulsive neural networks with bot...

In this paper, a generalized reaction-diffusion model of Cohen Grossberg neural networks with time-varying and distributed delays is investigated. By employing analytic methods, inequality technique and M -matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for Cohen-Grossberg neural networks with time-varying and di...

In this paper, a generalized model of Cohen-Grossberg neural networks (CGNNs) with time-varying delays and reaction-diffusion term is investigated. By constructing suitable Lyapunov functional, inequality technique and M -matrix theory, some sufficient conditions for global exponential stability of generalized CGNNs with time-varying delays and reaction-diffusion term are obtained. An examples ...