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Synchronization Control of High-Order Inertial Hopfield Neural Network with Time Delay
Author(s) -
Liang Ke
Publication year - 2020
Publication title -
revue d intelligence artificielle
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.146
H-Index - 14
eISSN - 1958-5748
pISSN - 0992-499X
DOI - 10.18280/ria.340509
Subject(s) - synchronization (alternating current) , control theory (sociology) , artificial neural network , inertial frame of reference , computer science , inertia , differential (mechanical device) , hopfield network , differential equation , term (time) , delay differential equation , control (management) , mathematics , engineering , artificial intelligence , physics , mathematical analysis , computer network , channel (broadcasting) , classical mechanics , quantum mechanics , aerospace engineering
This paper probes deep into the synchronization control of high-order inertial Hopfield neural network with time delay, considering both inertia term and high-order term. Specifically, a second-order differential system was transformed into a first-order differential system, through proper variable substitution. Then, the sufficient conditions for exponential synchronization of the response system were theorized, with the aid of the fundamental solution matrix of the differential equation. The theoretical conditions were verified through an example analysis. The research findings have great application potential in production, communication, and automation.

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