标题:Global adaptive matrix-projective synchronization of delayed fractional-order competitive neural network with different time scales
作者:He J.; Chen F.; Lei T.; Bi Q.
作者机构:[He, J] Department of Mechanics, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China;[ Chen, F] Department of Mathematics, Nanj 更多
通讯作者:He, J(hejinman1026@nuaa.edu.cn)
通讯作者地址:[He, J] Department of Mechanics, Nanjing University of Aeronautics and AstronauticsChina;
来源:Neural Computing and Applications
出版年:2020
DOI:10.1007/s00521-020-04728-7
关键词:Adaptive control method; Fractional-order competitive neural network; Matrix-projective synchronization; Parameter identification; Time delay
摘要:In this paper, by using the adaptive control method, the global matrix-projective synchronization of delayed fractional-order competitive neural network with different time scales is researched for the first time. Firstly, the fractional-order global matrix-projective synchronization is defined. Then, in order to achieve the matrix-projective synchronization, the sufficient condition is obtained under an adaptive controller and its effectiveness is proved by combining the fractional-order Barbalat theory with a suitable Lyapunov–Krasovskii functional as well as some fractional-order differential inequalities. And all unknown parameters are identified and estimated to the fixed constants successfully. Finally, as applications, a numerical example with simulations is employed to demonstrate the feasibility and efficiency of the new synchronization analysis. © 2020, Springer-Verlag London Ltd., part of Springer Nature.
收录类别:SCOPUS
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85078037849&doi=10.1007%2fs00521-020-04728-7&partnerID=40&md5=d95876c2afc3570ea6ac7eb226d5f4e4
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