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Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field

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成果类型:
期刊论文
作者:
Pratap, Anbalagan;Raja, Ramachandran;Alzabut, Jehad;Cao, Jinde*;Rajchakit, Grienggrai;...
通讯作者:
Cao, Jinde;Huang, Chuangxia
作者机构:
[Pratap, Anbalagan] Vel Tech High Tech Dr Rangarajan Dr Sakunthala En, Dept Math, Avadi, India.
[Raja, Ramachandran] Alagappa Univ, Ramanujan Ctr Higher Math, Karaikkudi, Tamil Nadu, India.
[Alzabut, Jehad] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia.
[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
[Rajchakit, Grienggrai] Maejo Univ, Dept Math, Chiang Mai, Thailand.
通讯机构:
[Cao, Jinde] S
[Huang, Chuangxia] C
Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
Changsha Univ Sci & Technol, Sch Math & Stat, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
语种:
英文
关键词:
Lyapunov functions;Neural networks;Synchronization;Fractional order neural network;Impulsive controls;Impulsive synchronization;Inequality techniques;Lyapunov functionals;Neuron activation function;Noncommutativity;Synaptic connection strengths;Adaptive control systems
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2020
卷:
43
期:
10
页码:
6223-6253
基金类别:
This article has been written with the joint financial support of the National Natural Science Foundation of China (Nos. 11971076 and 51839002), RUSA‐Phase 2.0 Grant No. F 24‐51/2014‐U, Policy (TN Multi‐Gen), Dept. of Edn. Govt. of India, UGC‐SAP (DRS‐I) Grant No. F.510/8/DRS‐I/2016(SAP‐I), and DST (FIST ‐ level I) 657876570 Grant No. SR/FIST/MS‐I/2018/17. J. Alzabut would like to thank Prince Sultan University for supporting this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG‐DES‐2017‐01‐17 and Thailand Research Grant FundRSA6280004. This article has been written with the joint financial support of the National Natural Science Foundation of China (Nos. 11971076 and 51839002), RUSA-Phase 2.0 Grant No. F 24-51/2014-U, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India, UGC-SAP (DRS-I) Grant No. F.510/8/DRS-I/2016(SAP-I), and DST (FIST - level I) 657876570 Grant No. SR/FIST/MS-I/2018/17. J. Alzabut would like to thank Prince Sultan University for supporting this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17 and Thailand Research Grant FundRSA6280004.
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
Fractional order quaternion-valued neural networks are a type of fractional order neural networks for which neuron state, synaptic connection strengths, and neuron activation functions are quaternion. This paper is dealing with the Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field. The fractional order quaternion-valued neural networks are separated into four real-valued systems forming an equivalent four real-valued fractional order neural networks, which decreases the compu...

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