Event-Based Synchronization for Multiple Neural Networks With Time Delay and Switching Disconnected Topology.

Journal: IEEE transactions on cybernetics
Published Date:

Abstract

This article discusses the synchronization problem for a class of multiple delayed neural networks (MDNNs) with a directed switching topology by using an event-triggering strategy. First, a new differential inequality with delay is shown, which is a generalization of Halanay-type inequalities. Then, the sufficient conditions of event-based synchronization (quasisynchronization) for MDNN with sequentially connected topology are obtained by using this inequality and the iterative method. Meantime, we prove that Zeno behavior can be avoided under the designed event-triggering rules. As an extension, MDNN with jointly connected topology is also discussed. Finally, a numerical example is listed to illustrate the results in theory analysis.

Authors

  • Jiejie Chen
    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.
  • Boshan Chen
    College of Mathematics and Statistics, Hubei Normal University, Hubei Huangshi 435002, China. Electronic address: chenbs@hbnu.edu.cn.
  • Zhigang Zeng
  • Ping Jiang
    School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China; School of Computer Science and Technology, Hubei PolyTechnic University, Huangshi 435003, China. Electronic address: jiangping20140209@gmail.com.