Adaptive Exponential Synchronization for Stochastic Competitive Neural Networks with Time-Varying Leakage Delays and Reaction-Diffusion Terms
Joint Authors
Wang, Zhiqiang
Wang, Lili
Xu, Rui
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-20
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We study the exponential synchronization problem for a class of stochastic competitive neural networks with different timescales, as well as spatial diffusion, time-varying leakage delays, and discrete and distributed time-varying delays.
By introducing several important inequalities and using Lyapunov functional technique, an adaptive feedback controller is designed to realize the exponential synchronization for the proposed competitive neural networks in terms of p-norm.
According to the theoretical results obtained in this paper, the influences of the timescale, external stimulus constants, disposable scaling constants, and controller parameters on synchronization are analyzed.
Numerical simulations are presented to show the feasibility of the theoretical results.
American Psychological Association (APA)
Wang, Zhiqiang& Wang, Lili& Xu, Rui. 2017. Adaptive Exponential Synchronization for Stochastic Competitive Neural Networks with Time-Varying Leakage Delays and Reaction-Diffusion Terms. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-22.
https://search.emarefa.net/detail/BIM-1191626
Modern Language Association (MLA)
Wang, Zhiqiang…[et al.]. Adaptive Exponential Synchronization for Stochastic Competitive Neural Networks with Time-Varying Leakage Delays and Reaction-Diffusion Terms. Mathematical Problems in Engineering No. 2017 (2017), pp.1-22.
https://search.emarefa.net/detail/BIM-1191626
American Medical Association (AMA)
Wang, Zhiqiang& Wang, Lili& Xu, Rui. Adaptive Exponential Synchronization for Stochastic Competitive Neural Networks with Time-Varying Leakage Delays and Reaction-Diffusion Terms. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-22.
https://search.emarefa.net/detail/BIM-1191626
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191626