Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales

Joint Authors

Huang, Zhengkun
Cai, Jinxiang
Bin, Honghua

Source

Advances in Artificial Neural Systems

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-02

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Information Technology and Computer Science

Abstract EN

We present stability analysis of delayed Wilson-Cowan networks on time scales.

By applying the theory of calculus on time scales, the contraction mapping principle, and Lyapunov functional, new sufficient conditions are obtained to ensure the existence and exponential stability of periodic solution to the considered system.

The obtained results are general and can be applied to discrete-time or continuous-time Wilson-Cowan networks.

American Psychological Association (APA)

Cai, Jinxiang& Huang, Zhengkun& Bin, Honghua. 2014. Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales. Advances in Artificial Neural Systems،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-495784

Modern Language Association (MLA)

Cai, Jinxiang…[et al.]. Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales. Advances in Artificial Neural Systems No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-495784

American Medical Association (AMA)

Cai, Jinxiang& Huang, Zhengkun& Bin, Honghua. Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales. Advances in Artificial Neural Systems. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-495784

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-495784