Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6863029 | Neural Networks | 2018 | 15 Pages |
Abstract
This paper investigates O(tâα)-synchronization and adaptive Mittag-Leffler synchronization for the fractional-order memristive neural networks with delays and discontinuous neuron activations. Firstly, based on the framework of Filippov solution and differential inclusion theory, using a Razumikhin-type method, some sufficient conditions ensuring the global O(tâα)-synchronization of considered networks are established via a linear-type discontinuous control. Next, a new fractional differential inequality is established and two new discontinuous adaptive controller is designed to achieve Mittag-Leffler synchronization between the drive system and the response systems using this inequality. Finally, two numerical simulations are given to show the effectiveness of the theoretical results. Our approach and theoretical results have a leading significance in the design of synchronized fractional-order memristive neural networks circuits involving discontinuous activations and time-varying delays.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Jiejie Chen, Boshan Chen, Zhigang Zeng,