Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay

The robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fra...

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Autores principales:	Jingjing Zeng, Xujun Yang, Lu Wang, Xiaofeng Chen
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/6a3c8bef7cbd43b3b8bcf3b3edd581a1
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spelling	oai:doaj.org-article:6a3c8bef7cbd43b3b8bcf3b3edd581a12021-11-29T00:56:55ZRobust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay1607-887X10.1155/2021/5653791https://doaj.org/article/6a3c8bef7cbd43b3b8bcf3b3edd581a12021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5653791https://doaj.org/toc/1607-887XThe robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fractional orders, which is universal in practical application. Using the theorem of homeomorphism, the sufficient condition of the existence and uniqueness of the equilibrium point for the system is obtained. Then, the sufficient criteria of robust asymptotical stability and stabilization for the addressed models are established, respectively. Finally, we give two numerical examples to verify the feasibility and effectiveness of the theoretical results.Jingjing ZengXujun YangLu WangXiaofeng ChenHindawi LimitedarticleMathematicsQA1-939ENDiscrete Dynamics in Nature and Society, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Jingjing Zeng Xujun Yang Lu Wang Xiaofeng Chen Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
description	The robust asymptotical stability and stabilization for a class of fractional-order complex-valued neural networks (FCNNs) with parametric uncertainties and time delay are considered in this paper. It is worth noting that our system combines complex numbers, uncertain parameters, time delay, and fractional orders, which is universal in practical application. Using the theorem of homeomorphism, the sufficient condition of the existence and uniqueness of the equilibrium point for the system is obtained. Then, the sufficient criteria of robust asymptotical stability and stabilization for the addressed models are established, respectively. Finally, we give two numerical examples to verify the feasibility and effectiveness of the theoretical results.
format	article
author	Jingjing Zeng Xujun Yang Lu Wang Xiaofeng Chen
author_facet	Jingjing Zeng Xujun Yang Lu Wang Xiaofeng Chen
author_sort	Jingjing Zeng
title	Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
title_short	Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
title_full	Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
title_fullStr	Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
title_full_unstemmed	Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay
title_sort	robust asymptotical stability and stabilization of fractional-order complex-valued neural networks with delay
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/6a3c8bef7cbd43b3b8bcf3b3edd581a1
work_keys_str_mv	AT jingjingzeng robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay AT xujunyang robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay AT luwang robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay AT xiaofengchen robustasymptoticalstabilityandstabilizationoffractionalordercomplexvaluedneuralnetworkswithdelay
_version_	1718407649945452544

Robust Asymptotical Stability and Stabilization of Fractional-Order Complex-Valued Neural Networks with Delay

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