Abstract
AbstractIn this study, we investigate reaction-diffusion complex-valued neural networks with mixed delays. The mixed delays include both time-varying and infinite distributed delays. Criteria are derived to ensure the existence, uniqueness, and exponential stability of the equilibrium state of the addressed system on the basis of the M-matrix properties and homeomorphism mapping theories as well as the vector Lyapunov function method. The results demonstrate the positive effect of reaction-diffusion on the stability, which further improves the existing conditions. Finally, the analysis of several examples is compared to the present results to verify the correctness and reduced conservatism of the primary results.
Funder
the Science & Technology Major Project of Sichuan Province
the Science & Technology Department of Sichuan Province
the National Natural Science Foundation of China
the Major Scientific & Technological Innovation Project of Chengdu, Sichuan Province
the National Key R&D Program of China
the Key Research and Development Project of Sichuan Province
the Regional Cooperation and innovation project of Sichuan Province
the Scientific Research Foundation of the Education Department of Sichuan Province
the Key Scientific Research Fund Project of Xihua University
the Open Research Subject of Key Laboratory of Fluid and Power Machinery, Xihua University, Ministry of Education
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Cited by
7 articles.
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