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Global Exponential Synchronization of Delayed Fuzzy Neural Networks With Reaction Diffusions

Yin Sheng, Yun Xing, Tingwen Huang, Zhigang Zeng

2023IEEE Transactions on Fuzzy Systems22 citationsDOI

Abstract

This article is concerned with global exponential synchronization of delayed fuzzy neural networks with reaction diffusions (RDFNNs). By adopting analytic method and some inequality techniques, a global exponential synchronization criterion in terms of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$p$</tex-math></inline-formula> -norm ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$p\geq 2$</tex-math></inline-formula> ) is obtained for the RDFNNs via adaptive intermittent control. One numerical example is provided to demonstrate the validity of the proposed outcomes. Two other examples are given to show the applications in image encryption and pseudorandom number generation, respectively.

Topics & Concepts

NotationExponential functionSynchronization (alternating current)Artificial neural networkMathematicsReaction–diffusion systemApplied mathematicsDiscrete mathematicsFuzzy logicAlgebra over a fieldAlgorithmPure mathematicsComputer scienceArithmeticArtificial intelligenceTopology (electrical circuits)CombinatoricsMathematical analysisNeural Networks Stability and SynchronizationAdvanced Memory and Neural Computingstochastic dynamics and bifurcation
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