Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form
This paper aims to study the impact of discontinuous activations, neutral-type operators, and mixed time delays on the finite-time and fixed-time robust synchronization of fuzzy neural networks. By using functional differential inclusions theory, inequality technique, and the non-smooth analysis of...
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doaj-a54b304dcd7747788470dc967d9aa6952021-04-05T17:15:33ZengIEEEIEEE Access2169-35362019-01-017998429985510.1109/ACCESS.2019.29306788769835Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s FormFanchao Kong0https://orcid.org/0000-0001-8860-4877Quanxin Zhu1https://orcid.org/0000-0003-3130-4923School of Mathematics and Statistics, Anhui Normal University, Wuhu, 241000MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, ChinaThis paper aims to study the impact of discontinuous activations, neutral-type operators, and mixed time delays on the finite-time and fixed-time robust synchronization of fuzzy neural networks. By using functional differential inclusions theory, inequality technique, and the non-smooth analysis of the Lyapunov-Krasovskii functional, a simple switching adaptive controller and a switching state-feedback controller are designed, some new criteria are obtained to achieve the finite-time and fixed-time synchronization of the proposed drive-response systems. Besides, the upper bound of the settling time of finite-time synchronization is estimated, and the settling time of fixed-time synchronization can be given in advance. In spite of many previous results on the synchronization of fuzzy neutral-type neural network and stability analysis of neural networks of neutral-type in Hale's form with continuous activation functions, few references on the stability and synchronization control analysis of the neural network like the form of the neural network model addressed in this paper can be cited. From this point of view, the neural network model considered and the theoretical results of this paper are more generalized and inclusive. Finally, the simulation examples and remarks have been shown to verify the correctness and advantages of our main results.https://ieeexplore.ieee.org/document/8769835/Fuzzy neutral-type neural networksdiscrete and distributed time-delaysdiscontinuous activationsstabilityfinite-time synchronizationfixed-time synchronization |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Fanchao Kong Quanxin Zhu |
spellingShingle |
Fanchao Kong Quanxin Zhu Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form IEEE Access Fuzzy neutral-type neural networks discrete and distributed time-delays discontinuous activations stability finite-time synchronization fixed-time synchronization |
author_facet |
Fanchao Kong Quanxin Zhu |
author_sort |
Fanchao Kong |
title |
Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form |
title_short |
Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form |
title_full |
Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form |
title_fullStr |
Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form |
title_full_unstemmed |
Finite-Time and Fixed-Time Synchronization Criteria for Discontinuous Fuzzy Neural Networks of Neutral-Type in Hale’s Form |
title_sort |
finite-time and fixed-time synchronization criteria for discontinuous fuzzy neural networks of neutral-type in hale’s form |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2019-01-01 |
description |
This paper aims to study the impact of discontinuous activations, neutral-type operators, and mixed time delays on the finite-time and fixed-time robust synchronization of fuzzy neural networks. By using functional differential inclusions theory, inequality technique, and the non-smooth analysis of the Lyapunov-Krasovskii functional, a simple switching adaptive controller and a switching state-feedback controller are designed, some new criteria are obtained to achieve the finite-time and fixed-time synchronization of the proposed drive-response systems. Besides, the upper bound of the settling time of finite-time synchronization is estimated, and the settling time of fixed-time synchronization can be given in advance. In spite of many previous results on the synchronization of fuzzy neutral-type neural network and stability analysis of neural networks of neutral-type in Hale's form with continuous activation functions, few references on the stability and synchronization control analysis of the neural network like the form of the neural network model addressed in this paper can be cited. From this point of view, the neural network model considered and the theoretical results of this paper are more generalized and inclusive. Finally, the simulation examples and remarks have been shown to verify the correctness and advantages of our main results. |
topic |
Fuzzy neutral-type neural networks discrete and distributed time-delays discontinuous activations stability finite-time synchronization fixed-time synchronization |
url |
https://ieeexplore.ieee.org/document/8769835/ |
work_keys_str_mv |
AT fanchaokong finitetimeandfixedtimesynchronizationcriteriafordiscontinuousfuzzyneuralnetworksofneutraltypeinhalex2019sform AT quanxinzhu finitetimeandfixedtimesynchronizationcriteriafordiscontinuousfuzzyneuralnetworksofneutraltypeinhalex2019sform |
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