title: Global Mittag-Leffler synchronization of fractional-order neural networks with discontinuous activations.
abstract: This paper is concerned with the global Mittag-Leffler synchronization for a class of fractional-order neural networks with discontinuous activations (FNNDAs). We give the concept of Filippov solution for FNNDAs in the sense of Caputo's fractional derivation. By using a singular Gronwall inequality and the properties of fractional calculus, the existence of global solution under the framework of Filippov for FNNDAs is proved. Based on the nonsmooth analysis and control theory, some sufficient criteria for the global Mittag-Leffler synchronization of FNNDAs are derived by designing a suitable controller. The proposed results enrich and enhance the previous reports. Finally, one numerical example is given to demonstrate the effectiveness of the theoretical results.
authors.affiliation: School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China.
authors.forename: Zhixia
authors.initials: Z
authors.lastname: Ding
authors.affiliation: School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China. Electronic address: yishen64@163.com.
authors.forename: Yi
authors.initials: Y
authors.lastname: Shen
authors.affiliation: School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China.
authors.forename: Leimin
authors.initials: L
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer
keywords: Discontinuous activation; Filippov solution; Fractional-order neural networks; Mittag-Leffler synchronization