文章基本信息

标题：Mixed H ∞ / $H_{\infty }/$ passive exponential function projective synchronization of delayed neural networks with hybrid coupling based on pinning sampled-data control
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作者：Thongchai Botmart ; Narongsak Yotha ; Piyapong Niamsup 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-26
DOI：10.1186/s13662-019-2286-y
出版社：Hindawi Publishing Corporation
摘要：This paper presents the problem of mixed $H_{\infty }$ /passive exponential function projective synchronization of delayed neural networks with constant discrete and distributed delay couplings under pinning sampled-data control scheme. The aim of this work is to focus on designing of pinning sampled-data controller with an explicit expression by which the stable synchronization error system is achieved and a mixed $H_{\infty }$ /passive performance level is also reached. Particularly, the control method is designed to determine a set of pinned nodes with fixed coupling matrices and strength values, and to select randomly pinning nodes. To handle the Lyapunov functional, we apply some new techniques and then derive some sufficient conditions for the desired controller existence. Furthermore, numerical examples are given to illustrate the effectiveness of the proposed theoretical results.
关键词：Mixed H ∞ $H_{\infty }$ /passive;Exponential function projective synchronization;Neural networks;Hybrid coupling;Pinning sampled-data control