JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (1): 80-85.doi: 10.6040/j.issn.1671-9352.0.2013.171

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Stability analysis of generalized fuzzy bidirectional associative #br# memory networks with thresholds

CHEN Gui-ying   

  • Received:2013-04-10 Online:2014-01-20 Published:2014-01-15

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Abstract:

Based on the fuzzy operator “∨” and a tnorm “T”, a generalized dynamical model named the fuzzy bidirectional associative memory networks with thresholds was set up. It is shown that the equilibrium of the system is Lyapunov stable if T satisfies Lipschitz condition. A sufficient condition for the system to be structurally stable was also proposed. Finally, an example was given to demonstrate our conclusion.

Key words: equilibrium, threshold, ∨T fuzzy bidirectional associative memory networks, Lyapunov stability, structural stability

CLC Number: 

  • O159
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