Global exponential stability for a class of generalized delayed neural networks with impulses

DOI10.1002/mma.1451zbMath1219.92002OpenAlexW1976133888MaRDI QIDQ5199433

Qiang Xi

Publication date: 16 August 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1451

zbMATH Keywords

equilibriumdelaysgeneralized neural networks

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20) Ordinary differential equations with impulses (34A37) Stability theory of functional-differential equations (34K20) Miscellaneous inequalities involving matrices (15A45)

Related Items (6)

Stochastic complex networks synchronize to the limit set with adaptive controller and adaptive delay ⋮ Exponential stability and periodic solutions of impulsive neural network models with piecewise constant argument ⋮ Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks ⋮ Razumikhin-type theorems for impulsive differential equations with piecewise constant argument of generalized type ⋮ Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument ⋮ Chaos projective synchronization of the chaotic finance system with parameter switching perturbation and input time-varying delay

Cites Work

• Unnamed Item
• Exponential synchronization of chaotic neural networks with mixed delays and impulsive effects via output coupling with delay feedback
• Criteria for exponential stability of Cohen-Grossberg neural networks
• New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays
• Existence and global exponential stability of periodic solution of a class of neural networks with impulses
• Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
• The method of Lyapunov functionals and exponential stability of impulsive systems with time delay
• A new analytical method for the linearization of dynamic equation on measure chains
• Global stability analysis of impulsive Cohen-Grossberg neural networks with delay
• Uniform asymptotic stability and global stability of impulsive infinite delay differential equations
• Stability properties for Hopfield neural networks with delays and impulsive perturbations
• Global exponential stability for a class of neural networks
• A learning method in Hopfield neural network for combinatorial optimization problem
• Global asymptotic stability for a class of nonlinear neural networks with multiple delays
• Delay-dependent global stability results for delayed Hopfield neural networks
• Global dynamic analysis of general Cohen-Grossberg neural networks with impulse
• Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse
• Delay-dependent global stability condition for delayed Hopfield neural networks
• A new approach to exponential stability analysis of neural networks with time-varying delays
• On a class of nonsymmetrical neural networks with application to ADC
• Improved global robust delay-dependent stability criteria for delayed cellular neural networks
• New Conditions on the Existence and Stability of Periodic Solution in Lotka–Volterra's Population System
• Asymptotic stability of discrete-time systems with saturation nonlinearities with applications to digital filters
• Global exponential stability for neutral-type BAM neural networks with time-varying delays

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