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@article{118df115e72e49938c55195c63954f61,
title = "Robust Multimode Function Synchronization of Memristive Neural Networks with Parameter Perturbations and Time-Varying Delays",
abstract = "Currently, some works on studying complete synchronization of dynamical systems are usually restricted to its two special cases: power-rate synchronization and exponential synchronization. Therefore, how to give a generalization of these types of complete synchronization by mathematical expression is an open question which needs to be urgently solved. To begin with, this paper proposes multimode function synchronization by mathematical expression for the first time, which is a generalization of exponential synchronization, power-rate synchronization, and logarithmical synchronization and so on. Moreover, two adaptive controllers are designed to achieve robust multimode function synchronization of memristive neural networks (MNNs) with mismatched parameters and uncertain parameters. Each adaptive controller includes function r(t) and update gain σ. By choosing different types of r(t), multiple types of complete synchronization including power-rate synchronization and exponential synchronization can be obtained. And update gain σ can be used to adjust the speed of synchronization. Therefore, our results enlarge and strengthen the existing results. Two examples are put forward to verify the validity of our results.",
author = "Wei Yao and Chunhua Wang and Yichuang Sun and Chao Zhou",
year = "2020",
month = "5",
day = "20",
language = "English",
journal = "IEEE Transactions on Systems, Man, and Cybernetics: Systems",
issn = "2168-2216",
publisher = "IEEE",

}

RIS

TY - JOUR

T1 - Robust Multimode Function Synchronization of Memristive Neural Networks with Parameter Perturbations and Time-Varying Delays

AU - Yao, Wei

AU - Wang, Chunhua

AU - Sun, Yichuang

AU - Zhou, Chao

PY - 2020/5/20

Y1 - 2020/5/20

N2 - Currently, some works on studying complete synchronization of dynamical systems are usually restricted to its two special cases: power-rate synchronization and exponential synchronization. Therefore, how to give a generalization of these types of complete synchronization by mathematical expression is an open question which needs to be urgently solved. To begin with, this paper proposes multimode function synchronization by mathematical expression for the first time, which is a generalization of exponential synchronization, power-rate synchronization, and logarithmical synchronization and so on. Moreover, two adaptive controllers are designed to achieve robust multimode function synchronization of memristive neural networks (MNNs) with mismatched parameters and uncertain parameters. Each adaptive controller includes function r(t) and update gain σ. By choosing different types of r(t), multiple types of complete synchronization including power-rate synchronization and exponential synchronization can be obtained. And update gain σ can be used to adjust the speed of synchronization. Therefore, our results enlarge and strengthen the existing results. Two examples are put forward to verify the validity of our results.

AB - Currently, some works on studying complete synchronization of dynamical systems are usually restricted to its two special cases: power-rate synchronization and exponential synchronization. Therefore, how to give a generalization of these types of complete synchronization by mathematical expression is an open question which needs to be urgently solved. To begin with, this paper proposes multimode function synchronization by mathematical expression for the first time, which is a generalization of exponential synchronization, power-rate synchronization, and logarithmical synchronization and so on. Moreover, two adaptive controllers are designed to achieve robust multimode function synchronization of memristive neural networks (MNNs) with mismatched parameters and uncertain parameters. Each adaptive controller includes function r(t) and update gain σ. By choosing different types of r(t), multiple types of complete synchronization including power-rate synchronization and exponential synchronization can be obtained. And update gain σ can be used to adjust the speed of synchronization. Therefore, our results enlarge and strengthen the existing results. Two examples are put forward to verify the validity of our results.

M3 - Article

JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems

JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems

SN - 2168-2216

ER -