Existence and Global Exponential Stability of Periodic Solution to Cohen-Grossberg BAM Neural Networks with Time-Varying Delays
Joint Authors
Liu, Kaiyu
Wang, Liping
Zhang, Zhengqiu
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-14
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We investigate first the existence of periodic solution in general Cohen-Grossberg BAM neural networks with multiple time-varying delays by means of using degree theory.
Then using the existence result of periodic solution and constructing a Lyapunov functional, we discuss global exponential stability of periodic solution for the above neural networks.
Our result on global exponential stability of periodic solution is different from the existing results.
In our result, the hypothesis for monotonicity ineqiality conditions in the works of Xia (2010) Chen and Cao (2007) on the behaved functions is removed and the assumption for boundedness in the works of Zhang et al.
(2011) and Li et al.
(2009) is also removed.
We just require that the behaved functions satisfy sign conditions and activation functions are globally Lipschitz continuous.
American Psychological Association (APA)
Liu, Kaiyu& Zhang, Zhengqiu& Wang, Liping. 2012. Existence and Global Exponential Stability of Periodic Solution to Cohen-Grossberg BAM Neural Networks with Time-Varying Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-499500
Modern Language Association (MLA)
Liu, Kaiyu…[et al.]. Existence and Global Exponential Stability of Periodic Solution to Cohen-Grossberg BAM Neural Networks with Time-Varying Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-499500
American Medical Association (AMA)
Liu, Kaiyu& Zhang, Zhengqiu& Wang, Liping. Existence and Global Exponential Stability of Periodic Solution to Cohen-Grossberg BAM Neural Networks with Time-Varying Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-499500
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499500