A new criterion on the global exponential stability for cellular neural networks with multiple time-varying delays

DOI10.1016/j.physleta.2005.02.043zbMath1136.34338OpenAlexW1976137703MaRDI QIDQ2478864

Haijun Jiang, Zhi-Dong Teng

Publication date: 25 March 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.02.043

zbMATH Keywords

Lyapunov functioncellular neural networksglobal exponential stabilityequilibrium pointtime-varying delays

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (10)

Multistability of competitive neural networks with time-varying and distributed delays ⋮ Harmless delays for global exponential stability of Cohen-Grossberg neural networks ⋮ Global robust exponential stability for interval neural networks with delay ⋮ Periodic oscillation for a Hopfield neural networks with neutral delays ⋮ Existence of periodic solutions for neutral type cellular neural networks with delays ⋮ Existence and global exponential stability of equilibrium of competitive neural networks with different time scales and multiple delays ⋮ Asymptotical stability criterion on neural networks with multiple time-varying delays ⋮ Globally exponential stability of neural network with constant and variable delays ⋮ Adaptive synchronization for a class of cellular neural networks with pantograph delays ⋮ Global exponential stability analysis of Cohen-Grossberg neural network with delays

Cites Work

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• Global asymptotic stability of a class of dynamical neural networks
• On the global asymptotic stability of delayed cellular neural networks
• Stability analysis of delayed neural networks
• Stability and dynamics of delay-type general and cellular neural networks
• Cellular neural networks with non-linear and delay-type template elements and non-uniform grids
• On stability of cellular neural networks with delay
• Stability of cellular neural networks with dominant nonlinear and delay-type templates
• Global stability conditions for delayed CNNs
• An improved global stability result for delayed cellular neural networks
• Global robust stability of delayed neural networks

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