Globally exponential stability of periodic solutions for~impulsive neutral-type neural networks with delays

DOI10.1007/s11071-010-9846-8zbMath1286.34101OpenAlexW1986783213MaRDI QIDQ395174

Shuyong Li, Xiaohu Wang, Dao Yi Xu

Publication date: 29 January 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9846-8

zbMATH Keywords

contraction mapping principleexponential stabilityperiodic solutionneutral-typesingular impulsive delay differential inequality

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) Hybrid systems of functional-differential equations (34K34)

Related Items (8)

On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays ⋮ New conditions for global stability of neutral-type delayed Cohen-Grossberg neural networks ⋮ Delay-independent stability criteria for complex-valued BAM neutral-type neural networks with time delays ⋮ A modified Lyapunov functional with application to stability of neutral-type neural networks with time delays ⋮ Stability analysis for neutral-type inertial BAM neural networks with time-varying delays ⋮ Convergence behavior of delayed discrete cellular neural network without periodic coefficients ⋮ Stability of neutral-type neural network with Lévy noise and mixed time-varying delays ⋮ Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays

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