New stability conditions for neural networks with constant and variable delays

DOI10.1016/j.chaos.2005.04.008zbMath1097.34059OpenAlexW2095028518MaRDI QIDQ2484770

Qiang Zhang, Jin Xu, Xiaopeng Wei

Publication date: 1 August 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.04.008

Mathematics Subject Classification ID

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

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Cites Work

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• Delay differential equations: with applications in population dynamics
• On the global convergence of a class of functional differential equations with applications in neural network theory
• Global asymptotic stability of Hopfield neural networks with transmission delays
• Global exponential stability and existence of periodic solutions of CNNs with delays
• New results concerning exponential stability and periodic solutions of delayed cellular neural networks
• Globally exponential stability conditions for cellular neural networks with time-varying delays.
• Global stability of cellular neural networks with constant and variable delays
• Global asymptotic stability of a larger class of neural networks with constant time delay
• Stability analysis of delayed neural networks
• Almost Kenmotsu 3−h -manifolds with cyclic-parallel Ricci tensor
• Cellular neural networks: theory
• On the global stability of delayed neural networks
• LMI-based approach for asymptotically stability analysis of delayed neural networks
• An improved global stability result for delayed cellular neural networks
• Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
• Algebraic criteria for global exponential stability of cellular neural networks with multiple time delays
• Globally exponential stability of neural networks with variable delays

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