Global synchronization for hybrid coupled neural networks with interval time-varying delays: A matrix-based quadratic convex approach

Author:

Botmart Thongchai1,Yotha Narongsak2,Mukdasai Kanit1,Wongaree Supreecha3

Affiliation:

1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

2. Department of Applied Mathematics and Statistics, Faculty of Science and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand

3. Institute of General Education, Udon Thani Rajabhat University, Udon Thani 41000, Thailand

Abstract

This paper is concerned with the global synchronization problems for coupled neural networks (NNs) with hybrid coupling and interval time-varying delays. An appropriate Lyapunov–Krasovskii functional (LKF) and Kronecker product properties are used to form some new delay-dependent synchronization conditions in terms of linear matrix inequalities. A matrix-based quadratic convex approach introduce for sufficient conditions to ensure global synchronization where the time-varying delay is continuous uniformly bounded and its time-derivative bounded by upper and lower bounds. Simulation results are given to show the effectiveness and benefits of the proposed methods.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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