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Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays,distributed delays and time-varying delay in leakage delays
Authors:Chaouki Aouiti  El abed Assali  Jinde Cao  Ahmed Alsaedi
Affiliation:1. Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications, University of Carthage, Zarzouna, Tunisia;2. Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, People's Republic of China;3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;4. Nonlinear Analysis and Applied Mathematics (NAAM), Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
Abstract:This paper is concerned with a class of neutral-type competitive neural networks with multi-proportional delays, distributed delays and leakage delays. By employing the differential inequality theory, some sufficient conditions are given to ensure that all solutions of the addressed system converge exponentially to zero vector. An illustrative example is also given at the end of this paper to show the effectiveness of our results.
Keywords:Neutral-type competitive neural networks  leakage delay  proportional delay  exponential convergence
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