Results 81 to 90 of about 273,778 (204)

Dynamic Analysis of Stochastic Reaction-Diffusion Cohen-Grossberg Neural Networks with Delays

Advances in Difference Equations, 2009
Stochastic effects on convergence dynamics of reaction-diffusion Cohen-Grossberg neural networks (CGNNs) with delays are studied. By utilizing Poincaré inequality, constructing suitable Lyapunov functionals, and employing the method of stochastic ...
Pan Jie, Zhong Shouming
doaj   +2 more sources

Exponential Stability in Mean Square of Stochastic Neural Networks with Delays

IFAC Proceedings Volumes, 1997
Abstract In this paper we shall dicuss the exponential stability in mean square for a stochastic neural network with delays of the form dx ( t ) = [— Bx ( t ) + Ag ( x (t))] dt + σ( x ( t ), g ( x (t))dω( t ). In the case when σ( х , у ) ≡ 0 the stochastic network becomes a deterministic network with deladys ů ( t ) = — Bx ( t ) + Ag ( x (t)).
X.X. Liao, X. Mao
openaire   +1 more source

Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects

Advances in Difference Equations, 2018
In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential ...
Yong-Ki Ma, G. Arthi, S. Marshal Anthoni
doaj   +1 more source

The Orbital Stability of Planets Trapped in the First-Order Mean-Motion Resonances

, 2012
Many extrasolar planetary systems containing multiple super-Earths have been discovered. N-body simulations taking into account standard type-I planetary migration suggest that protoplanets are captured into mean-motion resonant orbits near the inner ...
Ida, Shigeru, Matsumoto, Yuji, Nagasawa, Makiko   +2 more
core   +1 more source

Exponential stability for a class of singularly perturbed It\^{o} differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2000
The problem of exponential stability in mean square of the zero solution for a class of singularly perturbed system of Itô differential equations is investigated. Estimates of the block components of the fundamental random matrix are provided.
V. Dragan, T. Morozan
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Delay-Dependent Exponential Stability for Uncertain Neutral Stochastic Systems with Mixed Delays and Markovian Jumping Parameters

Discrete Dynamics in Nature and Society, 2012
This paper is mainly concerned with the globally exponential stability in mean square of uncertain neutral stochastic systems with mixed delays and Markovian jumping parameters.
Huabin Chen
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Absolute mean square exponential stability of Lur’e stochastic distributed parameter control systems

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay

Abstract and Applied Analysis, 2014
This paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test
Chunge Lu, Linshan Wang
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Stability of Stochastic Coupled Networks with Time-Varying Coupling Under Intermittent Event-Triggered Control

Actuators
This paper studies the exponential stability in the mean square of the stochastic complex networks with time-varying coupling under an intermittent dynamic event-triggered control.
Yongbao Wu, Jiayi Bing
doaj   +1 more source

Exponential Stability for a Class of Stochastic Reaction-Diffusion Hopfield Neural Networks with Delays

Journal of Applied Mathematics, 2012
This paper studies the asymptotic behavior for a class of delayed reaction-diffusion Hopfield neural networks driven by finite-dimensional Wiener processes. Some new sufficient conditions are established to guarantee the mean square exponential stability
Xiao Liang, Linshan Wang
doaj   +1 more source