Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks

DOI10.1016/j.na.2011.01.026zbMath1218.34097OpenAlexW2138907883MaRDI QIDQ534452

Jitao Sun, Junping Shi, Chunxiang Li

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.01.026

zbMATH Keywords

stabilitydelayneural networksstochastic systemimpulsive control

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

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Cites Work

• Stability analysis of nonlinear stochastic differential delay systems under impulsive control
• Mean square exponential stability of uncertain stochastic delayed neural networks
• Exponential \(p\)-stability of impulsive stochastic neural networks with mixed delays
• Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
• Further results on mean square exponential stability of uncertain stochastic delayed neural networks
• Exponential stability of Euler-Maruyama solutions for impulsive stochastic differential equations with delay
• Robust stability for stochastic Hopfield neural networks with time delays
• Global exponential stability for impulsive cellular neural networks with time-varying delays
• Exponential \(p\)-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
• \(p\)th moment exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays
• Stability analysis for impulsive Cohen-Grossberg neural networks with time-varying delays and distributed delays
• Oscillation and stability of linear impulsive delay differential equations
• Continuous-time additive Hopfield-type neural networks with impulses.
• Global exponential stability of BAM neural networks with delays and impulses
• Global stability of cellular neural networks with constant and variable delays
• Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients
• Existence and global attractivity of positive periodic solutions of functional differential equations with impulses
• Stability of impulsive neural networks with time delays
• Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays
• Global asymptotic stability for a class of nonlinear neural networks with multiple delays
• On existence of a globally attractive periodic solution of impulsive delay logarithmic population model
• Improved delay-dependent exponential stability for uncertain stochastic neural networks with time-varying delays
• Global exponential stability of cellular neural networks with mixed delays and impulses
• Exponential stability of impulsive neural networks with time-varying delays
• Delay-dependent asymptotic stability for stochastic delayed recurrent neural networks with time varying delays
• Stability for impulsive delay differential equations
• Advances in Neural Networks – ISNN 2005
• Stability of stochastic interval systems with time delays

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