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Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay-Partitioning Projection Approach
Joint Authors
Hu, Manfeng
Guo, Liuxiao
Duan, Jianmin
Yang, Yongqing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, the mean square asymptotic stability of stochastic Markovian jump neural networks with different time scales and randomly occurred nonlinearities is investigated.
In terms of linear matrix inequality (LMI) approach and delay-partitioning projection technique, delay-dependent stability criteria are derived for the considered neural networks for cases with or without the information of the delay rates via new Lyapunov-Krasovskii functionals.
We also obtain that the thinner the delay is partitioned, the more obviously the conservatism can be reduced.
An example with simulation results is given to show the effectiveness of the proposed approach.
American Psychological Association (APA)
Duan, Jianmin& Hu, Manfeng& Yang, Yongqing& Guo, Liuxiao. 2013. Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay-Partitioning Projection Approach. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-454927
Modern Language Association (MLA)
Duan, Jianmin…[et al.]. Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay-Partitioning Projection Approach. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-454927
American Medical Association (AMA)
Duan, Jianmin& Hu, Manfeng& Yang, Yongqing& Guo, Liuxiao. Stability Analysis of Stochastic Markovian Jump Neural Networks with Different Time Scales and Randomly Occurred Nonlinearities Based on Delay-Partitioning Projection Approach. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-454927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454927