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Finite-Time Synchronization for Fuzzy Inertial Neural Networks by Maximum Value Approach

Zhengqiu Zhang, Jinde Cao

2021IEEE Transactions on Fuzzy Systems124 citationsDOI

Abstract

In this article, the finite-time synchronization of drive-response fuzzy inertial neural networks with delays is considered. Without applying the finite-time stability theorems and integral inequality approach, by using the maximum value approach of functions and designing two kinds of different controllers of time variable <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">t</i> , two criteria ensuring the finite-time synchronization for the drive-response fuzzy inertial neural networks are put forward. In this article, since the maximum value approach of functions is used and the controllers of time variable <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$t$</tex-math></inline-formula> are designed in studying the finite-time synchronization, our approach and results on the finite-time synchronization of neural networks are new.

Topics & Concepts

Synchronization (alternating current)Artificial neural networkInertial frame of referenceFuzzy logicComputer scienceVariable (mathematics)Stability (learning theory)NotationMathematicsTopology (electrical circuits)Artificial intelligenceArithmeticMachine learningCombinatoricsQuantum mechanicsPhysicsMathematical analysisNeural Networks Stability and SynchronizationNonlinear Dynamics and Pattern FormationNeural Networks and Applications
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