Non-periodically intermittent exponential synchronization of fractional-order multi-links complex dynamical networks. Issue 4 (4th March 2023)

• Record Type: Journal Article
• Authors: Xu, Yao; Jia, Qilong; Li, Wenxue; Feng, Jiqiang
• Is Part Of: Applicable analysis. Volume 102:Issue 4(2023)
• Page Start: 1077
• Page End: 1099
• Publication Date: 2023-03-04
• Subjects: Fractional-order -- complex dynamical networks -- exponential synchronization -- non-periodically intermittent control; 34A08 -- 34D06 -- 05C82 -- 93B52; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1971200
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, the exponential synchronization of fractional-order multi-links complex dynamical networks (CDNs) is studied based on non-periodically intermittent control. By means of the Lyapunov method and graph-theoretic approach, a Lyapunov-type theorem is provided based on the existence of vertex-Lyapunov functions. Then by giving the specific vertex-Lyapunov functions, a coefficients-type theorem is presented where the conditions of it are based on the coefficients of system. Moreover, to show the practicality of theoretical results, we give two applications to fractional-order chaotic CDNs with multiple links and fractional-order Hindmarsh–Rose neuron systems with multiple links, respectively. Meanwhile, two numerical examples are given to demonstrate the validity and feasibility of the theoretical results.