Existence and global exponential stability of periodic solution of cellular neural networks with delay and impulses

DOI10.1007/s00025-010-0048-yzbMath1206.34092OpenAlexW2062577971MaRDI QIDQ708735

Hongbing Xu, Chuandong Li, Hui Wang

Publication date: 14 October 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0048-y

zbMATH Keywords

exponential stabilitycellular neural networksperiodic solutiondegree theory

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) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (4)

Attracting and invariant sets of nonlinear stochastic neutral differential equations with delays ⋮ Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays ⋮ Average criteria for periodic neural networks with delay ⋮ Existence of periodic solutions of second-order nonlinear random impulsive differential equations via topological degree theory

Cites Work

• Unnamed Item
• Periodic solution for nonautonomous cellular neural networks with impulses
• Stability analysis for cellular neural networks with variable delays
• Global stability analysis on a class of cellular neural networks
• Existence and stability of periodic solution in impulsive Hopfield neural networks with finite distributed delays
• Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays
• Periodic solutions of nonautonomous cellular neural networks with impulses and delays
• Global exponential stability and existence of periodic solutions of CNNs with delays
• Stability analyses of cellular neural networks with continuous time delay
• On global exponential stability of delayed cellular neural networks with time-varying delays
• Delay-dependent exponential stability of cellular neural networks with time-varying delays
• Globally exponential stability of periodic solutions for nonlinear impulsive delay systems
• Existence of positive periodic solutions for a neutral population model with delays and impulse
• Global exponential stability and periodicity of cellular neural networks with variable delays
• On the global asymptotic stability of delayed cellular neural networks
• Cellular neural networks: theory

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