Exponential convergence and Lagrange stability for impulsive Cohen-Grossberg neural networks with time-varying delays

DOI10.1016/j.cam.2014.08.029zbMath1307.34117OpenAlexW2071073862MaRDI QIDQ464633

Liangliang Li, Ji-Gui Jian

Publication date: 28 October 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.08.029

zbMATH Keywords

Lyapunov functionsexponential convergenceLagrange stabilityimpulsive Cohen-Grossberg neural networksimpulsive delay differential inequality

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20)

Related Items (19)

Equilibrium and Stability Analysis of Takagi-Sugeno Fuzzy Delayed Cohen-Grossberg Neural Networks ⋮ Lagrange \(\alpha\)-exponential stability and \(\alpha\)-exponential convergence for fractional-order complex-valued neural networks ⋮ Lagrange \(\alpha\)-exponential synchronization of non-identical fractional-order complex-valued neural networks ⋮ Impulsive disturbances on the dynamical behavior of complex-valued Cohen-Grossberg neural networks with both time-varying delays and continuously distributed delays ⋮ Dynamical behaviour analysis of delayed complex-valued neural networks with impulsive effect ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global exponential synchronization via nonlinear feedback control for delayed inertial memristor-based quaternion-valued neural networks with impulses ⋮ Global exponential convergence for impulsive inertial complex-valued neural networks with time-varying delays ⋮ Global exponential convergence of fuzzy complex-valued neural networks with time-varying delays and impulsive effects ⋮ Stability analysis of fractional-order delayed neural networks ⋮ pth moment exponential stability of stochastic fuzzy Cohen–Grossberg neural networks with discrete and distributed delays ⋮ On the stability of sets for reaction-diffusion Cohen-Grossberg delayed neural networks ⋮ Global Mittag-Leffler boundedness and synchronization for fractional-order chaotic systems ⋮ Multiple stability and instability of Cohen-Grossberg neural network with unbounded time-varying delays ⋮ Stochastic stabilization problem of complex networks without strong connectedness ⋮ Stability analysis of split-step theta method for neutral stochastic delayed neural networks ⋮ Exponential Lagrange stability for impulses in discrete-time delayed recurrent neural networks ⋮ Passivity analysis of delayed reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincarè inequality

Cites Work

• Existence and global asymptotic stability of positive periodic solution of delayed Cohen-Grossberg neural networks
• Multistability in impulsive hybrid Hopfield neural networks with distributed delays
• Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis
• Attracting and invariant sets of impulsive delay Cohen-Grossberg neural networks
• Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays
• Dynamics of a class of Cohen--Grossberg neural networks with time-varying delays
• Global exponential stability of impulsive Cohen-Grossberg neural network with time-varying delays
• Global exponential stability in Lagrange sense for recurrent neural networks with time delays
• An invariance principle for nonlinear hybrid and impulsive dynamical systems.
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Stability of artificial neural networks with impulses
• Complete stability of cellular neural networks with unbounded time-varying delays
• Stability of impulsive neural networks with time delays
• Differential equations: Stability, oscillations, time lags
• Adaptive robust control of a class of dynamic delay systems with unknown uncertainty bounds

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