Positive invariant sets and global exponential attractive sets of a class of neural networks with unbounded time-delays |
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| Institution: | 1. Univ. Valenciennes, CNRS, UMR 8201 - LAMIH, F-59313 Valenciennes, France;2. Sonora Institute of Technology, 5 de Febrero 818 Sur, CP 85000, Ciudad Obregón, México;1. Centre for Telecommunications and Multimedia, INESC TEC, Porto, Portugal;2. Faculty of Engineering, University of Porto, Portugal |
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| Abstract: | In this paper, we study the positive invariant sets and global exponential attractive sets for a class of neural networks with unbounded time-delays. Based on the assumption for the activation function satisfying the global Lipschitz condition, several algebraic criterions for the aforementioned sets are obtained by constructing proper Lyapunov functions and employing Young inequality. Finally, examples are given and analyzed to demonstrate our results. |
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