Exponential stability and periodicity of impulsive cellular neural networks with time delays

DOI10.1016/J.AMC.2010.09.008zbMath1213.34087OpenAlexW2007728223MaRDI QIDQ613287

Jianfu Yang, Fengjian Yang, Xinming Chen, Dongqing Wu, Chaolong Zhang

Publication date: 20 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.09.008

zbMATH Keywords

stabilityfixed pointneural networkstime delaysimpulse

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) Periodic solutions to functional-differential equations (34K13)

Related Items (2)

Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays ⋮ Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays

Cites Work

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• Global stability analysis of impulsive BAM type Cohen--Grossberg neural networks with delays
• Stability in asymmetric Hopfield nets with transmission delays
• Stability of Hopfield-type neural networks. II
• Stability of Hopfield-type neural networks. I
• Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses
• A new sufficient condition for complete stability of cellular neural networks with delay
• Cellular neural networks: theory
• On the complete stability of nonsymmetric cellular neural networks

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