Dynamics of a class of Cohen–Grossberg neural networks with time-varying delays |
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Institution: | 1. Department of Applied Mathematics, Dankook University, Cheonan 330-714, Repulic of Korea;2. Universidad Internacional de La Rioja, C/Gran Vía 41, 26005, Logroño (La Rioja), Spain |
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Abstract: | Without assuming the boundedness, monotonicity, and differentiability of activation functions and any symmetry of interconnections, we establish some sufficient conditions for the global exponential stability of a unique equilibrium and the existence of periodic solution for the Cohen–Grossberg neural network with time-varying delays. Brouwer's fixed point theorem, matrix theory, a continuation theorem of the coincidence degree and inequality analysis are employed. Our results are all independent of the delays and maybe more convenient to design a circuit network. |
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