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
通讯作者地址：[He, J] Department of Mechanics, Nanjing University of Aeronautics and AstronauticsChina;
来源：Neural Computing and Applications
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.