Fixed-Time Synchronization of Competitive Neural Networks With Multiple Time Scales Article Swipe

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Wu Yang , Yan‐Wu Wang , Irinel‐Constantin Morărescu , Xiao‐Kang Liu , Yuehua Huang ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.1109/tnnls.2021.3052868

In this brief, we investigate the fixed-time synchronization of competitive neural networks with multiple time scales. These neural networks play an important role in visual processing, pattern recognition, neural computing, and so on. Our main contribution is the design of a novel synchronizing controller, which does not depend on the ratio between the fast and slow time scales. This feature makes the controller easy to implement since it is designed through well-posed algebraic conditions (i.e., even when the ratio between the time scales goes to 0, the controller gain is well defined and does not go to infinity). Last but not least, the closed-loop dynamics is characterized by a high convergence speed with a settling time which is upper bounded, and the bound is independent of the initial conditions. A numerical simulation illustrates our results and emphasizes their effectiveness.

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Synchronizing Settling time Control theory (sociology) Artificial neural network Computer science Synchronization (alternating current) Controller (irrigation) Convergence (economics) Upper and lower bounds Bounded function Feature (linguistics) Discrete time and continuous time Mathematics Control (management) Control engineering Artificial intelligence Engineering Mathematical analysis Economics Channel (broadcasting) Computer network Step response Philosophy Statistics Agronomy Economic growth Transmission (telecommunications) Biology Linguistics Telecommunications

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Type: article
Language: en
Landing Page: https://doi.org/10.1109/tnnls.2021.3052868
OA Status: green
Cited By: 51
References: 26
Related Works: 10
OpenAlex ID: https://openalex.org/W3127789660

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DOI: https://doi.org/10.1109/tnnls.2021.3052868

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Title: Fixed-Time Synchronization of Competitive Neural Networks With Multiple Time Scales

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Language: en

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Publication year: 2021

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Publication date: 2021-02-09

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Authors: Wu Yang, Yan‐Wu Wang, Irinel‐Constantin Morărescu, Xiao‐Kang Liu, Yuehua Huang

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Landing page: https://doi.org/10.1109/tnnls.2021.3052868

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Concepts: Synchronizing, Settling time, Control theory (sociology), Artificial neural network, Computer science, Synchronization (alternating current), Controller (irrigation), Convergence (economics), Upper and lower bounds, Bounded function, Feature (linguistics), Discrete time and continuous time, Mathematics, Control (management), Control engineering, Artificial intelligence, Engineering, Mathematical analysis, Economics, Channel (broadcasting), Computer network, Step response, Philosophy, Statistics, Agronomy, Economic growth, Transmission (telecommunications), Biology, Linguistics, Telecommunications

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Cited by: 51

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Citations by year (recent): 2025: 9, 2024: 16, 2023: 16, 2022: 10

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