Stochastic Stability of Neural Networks with Both Markovian Jump Parameters and Continuously Distributed Delays
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-08-27
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
The problem of stochastic stability is investigated for a class of neural networks with both Markovian jump parameters and continuously distributed delays.
The jumping parameters are modeled as a continuous-time, finite-state Markov chain.
By constructing appropriate Lyapunov-Krasovskii functionals, some novel stability conditions are obtained in terms of linear matrix inequalities (LMIs).
The proposed LMI-based criteria are computationally efficient as they can be easily checked by using recently developed algorithms in solving LMIs.
A numerical example is provided to show the effectiveness of the theoretical results and demonstrate the LMI criteria existed in the earlier literature fail.
The results obtained in this paper improve and generalize those given in the previous literature.
American Psychological Association (APA)
Zhu, Quanxin& Cao, Jinde. 2009. Stochastic Stability of Neural Networks with Both Markovian Jump Parameters and Continuously Distributed Delays. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-475775
Modern Language Association (MLA)
Zhu, Quanxin& Cao, Jinde. Stochastic Stability of Neural Networks with Both Markovian Jump Parameters and Continuously Distributed Delays. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-20.
https://search.emarefa.net/detail/BIM-475775
American Medical Association (AMA)
Zhu, Quanxin& Cao, Jinde. Stochastic Stability of Neural Networks with Both Markovian Jump Parameters and Continuously Distributed Delays. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-20.
https://search.emarefa.net/detail/BIM-475775
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475775