Stationary oscillation for high-order Hopfield neural networks with time delays and impulses
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 Mat...
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| Vydané v: | Journal of computational and applied mathematics Ročník 231; číslo 1; s. 473 - 477 |
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| Jazyk: | English |
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Elsevier B.V
01.09.2009
Elsevier |
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| ISSN: | 0377-0427, 1879-1778 |
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| 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. |
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| AbstractList | 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. 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. |
| Author | Wang, Qing-Guo Zhang, Yinping |
| Author_xml | – sequence: 1 givenname: Yinping surname: Zhang fullname: Zhang, Yinping email: zhangyinping@tongji.edu.cn organization: Department of Mathematics, Tongji University, China – sequence: 2 givenname: Qing-Guo surname: Wang fullname: Wang, Qing-Guo organization: Department of Electrical and Computer Engineering, National University of Singapore, Singapore |
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| Keywords | High-order Hopfield neural networks Periodic solution Global stability Impulse Delay Existence of solution Neural network Global solution Numerical analysis Sufficient condition Applied mathematics Oscillation Numerical stability |
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| SubjectTerms | Delay Exact sciences and technology Global stability High-order Hopfield neural networks Impulse Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Periodic solution Sciences and techniques of general use |
| Title | Stationary oscillation for high-order Hopfield neural networks with time delays and impulses |
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