Global exponential stability and existence of periodic solution of Cohen-Grossberg type neural networks with delays and impulses

DOI10.1016/J.NONRWA.2006.12.007zbMath1151.34062OpenAlexW2026667721MaRDI QIDQ933541

Chuanzhi Bai

Publication date: 21 July 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.12.007

zbMATH Keywords

exponential stabilityperiodic solutioncoincidence degree theoryDelay differential equationsCohen-Grossberg type neural networks.

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 (13)

Boundedness and global exponential stability for delayed differential equations with applications ⋮ Periodic solutions of Cohen-Grossberg-type bi-directional associative memory neural networks with neutral delays and impulses ⋮ Almost automorphic solutions for fuzzy Cohen-Grossberg neural networks with mixed time delays ⋮ Existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays ⋮ Globally exponential stability of periodic solutions to impulsive neural networks with time-varying delays ⋮ Existence and stability of antiperiodic solution for a class of generalized neural networks with impulses and arbitrary delays on time scales ⋮ Existence and global uniform asymptotic stability of pseudo almost periodic solutions for Cohen-Grossberg neural networks with discrete and distributed delays ⋮ Antiperiodic solutions to impulsive Cohen-Grossberg neural networks with delays on time scales ⋮ Dynamical behavior of impulsive and periodic Cohen-Grossberg neural networks ⋮ Existence and exponential stability of periodic solution for impulsive Cohen-Grossberg neural networks with time-varying delays ⋮ Anti-periodic solutions for Cohen-Grossberg neural networks with bounded and unbounded delays ⋮ Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays ⋮ Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays

Cites Work

• Existence and exponential stability of almost periodic solutions for cellular neural networks with time-varying delays
• Coincidence degree, and nonlinear differential equations
• Delay-independent stability analysis of Cohen-Grossberg neural networks
• Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
• Continuous-time additive Hopfield-type neural networks with impulses.
• New results concerning exponential stability and periodic solutions of delayed cellular neural networks
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Existence and stability of periodic solutions for Cohen--Grossberg neural networks with multiple delays
• Stability of artificial neural networks with impulses
• Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses
• Periodic oscillation for a class of neural networks with variable coefficients
• Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses
• Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses
• Almost periodic attractor of delayed neural networks with variable coefficients

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