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|Title:||Stationary oscillation for high-order Hopfield neural networks with time delays and impulses|
High-order Hopfield neural networks
|Source:||Zhang, Y., Wang, Q.-G. (2009-09-01). Stationary oscillation for high-order Hopfield neural networks with time delays and impulses. Journal of Computational and Applied Mathematics 231 (1) : 473-477. ScholarBank@NUS Repository. https://doi.org/10.1016/j.cam.2009.02.079|
|Abstract:||We investigate stationary oscillation for high-order Hopfield neural networks with time delays and impulses. In a recent paper [J. Zhang, Z. J. Gui, Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays, Journal of Computational and Applied Mathematics 224 (2008) 602-613], the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary oscillation) for high-order Hopfield neural networks with time delays and impulses. In this paper, we point out that the main result of the recent paper is unture, and present a new sufficient condition of stationary oscillation for the neural networks. A numerical example is given to illustrate the effectiveness of the obtained result. © 2009 Elsevier B.V. All rights reserved.|
|Source Title:||Journal of Computational and Applied Mathematics|
|Appears in Collections:||Staff Publications|
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