Discrete-time Cohen-Grossberg neural networks with transmission delays and impulses

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dc.contributor.authorS, Mohamad,
dc.contributor.authorAkca, Haydar
dc.contributor.authorCovachev, V
dc.date.accessioned2022-01-05T17:19:18Z
dc.date.accessioned2023-08-19T09:16:15Z
dc.date.available2022-01-05T17:19:18Z
dc.date.available2023-08-19T09:16:15Z
dc.date.issued2008-08
dc.descriptionNumerical (or computer) simulations of continuous-time neural networks governed by differential equations involving transmission delays (i.e., discrete or fixed delays, time-varying delays and distributed delays) have been developed steadily over the years [14]–[21], [23]–[3en_US
dc.description.abstract. A discrete-time analogue is formulated for an impulsive Cohen- -Grossberg neural network with transmission delay in a manner in which the global exponential stability characterisitics of a unique equilibrium point of the network are preserved. The formulation is based on extending the existing semidiscretization method that has been implemented for computer simulations of neural networks with linear stabilizing feedback terms. The exponential convergence in the p-norm of the analogue towards the unique equilibrium point is analysed by exploiting an appropriate Lyapunov sequence and properties of an M-matrix. The main result yields a Lyapunov exponent that involves the magnitude and frequency of the impulses. One can use the result for deriving the exponential stability of non-impulsive discrete-time neural networks, and also for simulating the exponential stability of impulsive and non-impulsive continuous-time networken_US
dc.identifier.citationMohamad, S., Akça, H., & Covachev, V. (2009). Discrete-time Cohen-Grossberg neural networks with transmission delays and impulses. Tatra Mountains Mathematical Publications, 43(1), 145-161.en_US
dc.identifier.doi10.2478/v10127-009-0034-5
dc.identifier.urihttps://edms.wexl.in/handle/1/2129
dc.language.isoenen_US
dc.publisherTatra Mountains Mathematical Publicationen_US
dc.subjectCohen-Grossberg neural networksen_US
dc.subjectDelaysen_US
dc.subjectDiscrete-time analoguesen_US
dc.subjectLyapunov exponenten_US
dc.titleDiscrete-time Cohen-Grossberg neural networks with transmission delays and impulsesen_US
dc.title.alternativeTatra Mt. Math. Publ. 43 (2009), 145–161en_US
dc.typeArticleen_US

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