Abstract
In this paper, we extend the Cohen–Grossberg neural networks from classical to fuzzy sets, and propose the fuzzy Cohen–Grossberg neural networks (FCGNN). The global exponential stability of FCGNN with variable delays and distributed delays is studied. Based on the properties of M-matrix, by constructing vector Liapunov functions and applying differential inequalities, the sufficient conditions ensuring existence, uniqueness, and global exponential stability of the equilibrium point of fuzzy Cohen–Grossberg neural networks with variable delays and distributed delays are obtained.
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Zhang, J., Ren, D., Zhang, W. (2007). Global Exponential Stability of Fuzzy Cohen-Grossberg Neural Networks with Variable Delays and Distributed Delays. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2007. Lecture Notes in Computer Science(), vol 4682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74205-0_8
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DOI: https://doi.org/10.1007/978-3-540-74205-0_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74201-2
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