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Stability Analysis for Stochastic Markovian Jump Reaction-Diffusion Neural Networks with Partially Known Transition Probabilities and Mixed Time Delays
Joint Authors
Shi, Naizheng
Zhang, Weiyuan
Li, Junmin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-27
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The stability problem is proposed for a new class of stochastic Markovian jump reaction-diffusion neural networks with partial information on transition probability and mixed time delays.
The new stability conditions are established in terms of linear matrix inequalities (LMIs).
To reduce the conservatism of the stability conditions, an improved Lyapunov-Krasovskii functional and free-connection weighting matrices are introduced.
The obtained results are dependent on delays and the measure of the space AND, therefore, have less conservativeness than delay-independent and space-independent ones.
An example is given to show the effectiveness of the obtained results.
American Psychological Association (APA)
Zhang, Weiyuan& Li, Junmin& Shi, Naizheng. 2012. Stability Analysis for Stochastic Markovian Jump Reaction-Diffusion Neural Networks with Partially Known Transition Probabilities and Mixed Time Delays. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-478506
Modern Language Association (MLA)
Zhang, Weiyuan…[et al.]. Stability Analysis for Stochastic Markovian Jump Reaction-Diffusion Neural Networks with Partially Known Transition Probabilities and Mixed Time Delays. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-478506
American Medical Association (AMA)
Zhang, Weiyuan& Li, Junmin& Shi, Naizheng. Stability Analysis for Stochastic Markovian Jump Reaction-Diffusion Neural Networks with Partially Known Transition Probabilities and Mixed Time Delays. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-478506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478506