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Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales
Joint Authors
Zhao, Lili
Li, Yongkun
Liu, Ping
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-09-23
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
On time scales, by using the continuation theorem of coincidence degree theory and constructing some suitable Lyapunov functions, the periodicity and the exponential stability are investigated for a class of delayed high-order Hopfield neural networks (HHNNs), which are new and complement of previously known results.
Finally, an example is given to show the effectiveness of the proposed method and results.
American Psychological Association (APA)
Li, Yongkun& Zhao, Lili& Liu, Ping. 2009. Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-481876
Modern Language Association (MLA)
Li, Yongkun…[et al.]. Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-18.
https://search.emarefa.net/detail/BIM-481876
American Medical Association (AMA)
Li, Yongkun& Zhao, Lili& Liu, Ping. Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-18.
https://search.emarefa.net/detail/BIM-481876
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481876