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

Mathematics

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