Exponential Stability of Stochastic Delayed Neural Networks with Inverse Hölder Activation Functions and Markovian Jump Parameters
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The exponential stability issue for a class of stochastic neural networks (SNNs) with Markovian jump parameters, mixed time delays, and α-inverse Hölder activation functions is investigated.
The jumping parameters are modeled as a continuous-time finite-state Markov chain.
Firstly, based on Brouwer degree properties, the existence and uniqueness of the equilibrium point for SNNs without noise perturbations are proved.
Secondly, by applying the Lyapunov-Krasovskii functional approach, stochastic analysis theory, and linear matrix inequality (LMI) technique, new delay-dependent sufficient criteria are achieved in terms of LMIs to ensure the SNNs with noise perturbations to be globally exponentially stable in the mean square.
Finally, two simulation examples are provided to demonstrate the validity of the theoretical results.
American Psychological Association (APA)
Li, Yingwei& Wu, Huaiqin. 2014. Exponential Stability of Stochastic Delayed Neural Networks with Inverse Hölder Activation Functions and Markovian Jump Parameters. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-497794
Modern Language Association (MLA)
Li, Yingwei& Wu, Huaiqin. Exponential Stability of Stochastic Delayed Neural Networks with Inverse Hölder Activation Functions and Markovian Jump Parameters. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-497794
American Medical Association (AMA)
Li, Yingwei& Wu, Huaiqin. Exponential Stability of Stochastic Delayed Neural Networks with Inverse Hölder Activation Functions and Markovian Jump Parameters. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-497794
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497794