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International Journal of Systems Science Volume 50, 2019 - Issue 4
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Articles

Global exponential stability in Lagrange sense for quaternion-valued neural networks with leakage delay and mixed time-varying delays

Hanqi ShuSchool of Economics and Management, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaView further author information
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Qiankun SongDepartment of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaCorrespondence[email protected]
View further author information
,
Jing LiangDepartment of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaView further author information
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Zhenjiang ZhaoDepartment of Mathematics, Huzhou Teachers College, Huzhou, People's Republic of ChinaView further author information
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Yurong LiuDepartment of Mathematics, Yangzhou University, Yangzhou, People's Republic of China;Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaView further author information
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Fuad E. AlsaadiCommunication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaView further author information
Pages 858-870 | Received 28 Mar 2018, Accepted 18 Feb 2019, Published online: 01 Mar 2019

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José J. Oliveira. (2022) Global exponential stability of discrete-time Hopfield neural network models with unbounded delays. Journal of Difference Equations and Applications 28:5, pages 725-751.
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Qian Wu, Qiankun Song, Zhenjiang Zhao, Yurong Liu & Fuad E. Alsaadi. (2021) Stabilization of T-S fuzzy fractional rectangular descriptor time-delay system. International Journal of Systems Science 52:11, pages 2268-2282.
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Articles from other publishers (19)

Sapna Baluni, Vijay K. Yadav & Subir Das. (2023) Lagrange stability criteria for hypercomplex neural networks with time varying delays. Communications in Nonlinear Science and Numerical Simulation, pages 107765.
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Qiankun Song, Linji Yang, Yurong Liu & Fuad E. Alsaadi. (2023) Stability of quaternion-valued neutral-type neural networks with leakage delay and proportional delays. Neurocomputing 521, pages 191-198.
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Yonghui Chen, Yu Xue, Xiaona Yang & Xian Zhang. (2023) A direct analysis method to Lagrangian global exponential stability for quaternion memristive neural networks with mixed delays. Applied Mathematics and Computation 439, pages 127633.
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Li Zhu, Er-yong Cong & Xian Zhang. (2023) Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays. AIMS Mathematics 8:8, pages 19018-19038.
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Sapna Baluni, Subir Das, Vijay K. Yadav & Jinde Cao. (2022) Lagrange $$\alpha $$-Exponential Synchronization of Non-identical Fractional-Order Complex-Valued Neural Networks. Circuits, Systems, and Signal Processing 41:10, pages 5632-5652.
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Fuad E. Alsaadi, Zidong Wang, Yuqiang Luo, Njud S. Alharbi & Fawaz W. Alsaade. (2022) H ∞ State Estimation for BAM Neural Networks With Binary Mode Switching and Distributed Leakage Delays Under Periodic Scheduling Protocol . IEEE Transactions on Neural Networks and Learning Systems 33:9, pages 4160-4172.
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Zhengwen Tu, Nina Dai, Liangwei Wang, Xinsong Yang, Yanqiu Wu, Ning Li & Jinde Cao. (2022) $$H_{\infty }$$ state estimation of quaternion-valued inertial neural networks: non-reduced order method. Cognitive Neurodynamics.
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Chengsheng Li, Jinde Cao & Ardak Kashkynbayev. (2021) Synchronization in Quaternion-Valued Neural Networks with Delay and Stochastic Impulses. Neural Processing Letters 54:1, pages 691-708.
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Ailing Li, Mengting Lv & Yifang Yan. (2022) Asymptotic stability for quaternion-valued BAM neural networks via a contradictory method and two Lyapunov functionals. AIMS Mathematics 7:5, pages 8206-8223.
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Weiqin Huang, Qiankun Song, Zhenjiang Zhao, Yurong Liu & Fuad E. Alsaadi. (2021) Robust stability for a class of fractional-order complex-valued projective neural networks with neutral-type delays and uncertain parameters. Neurocomputing 450, pages 399-410.
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Sihan Chen, Qiankun Song, Zhenjiang Zhao, Yurong Liu & Fuad E. Alsaadi. (2021) Global asymptotic stability of fractional-order complex-valued neural networks with probabilistic time-varying delays. Neurocomputing 450, pages 311-318.
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Qiankun Song, Sihan Chen, Zhenjiang Zhao, Yurong Liu & Fuad E. Alsaadi. (2021) Passive filter design for fractional-order quaternion-valued neural networks with neutral delays and external disturbance. Neural Networks 137, pages 18-30.
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Xingxing You, Songyi Dian, Rui Guo & Shengchuan Li. (2021) Exponential stability analysis for discrete-time quaternion-valued neural networks with leakage delay and discrete time-varying delays. Neurocomputing 430, pages 71-81.
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Qiankun Song, Yanxi Chen, Zhenjiang Zhao, Yurong Liu & Fuad E. Alsaadi. (2021) Robust stability of fractional-order quaternion-valued neural networks with neutral delays and parameter uncertainties. Neurocomputing 420, pages 70-81.
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Shuai Liu, Zidong Wang, Yun Chen & Guoliang Wei. (2020) Dynamic event-based state estimation for delayed artificial neural networks with multiplicative noises: A gain-scheduled approach. Neural Networks 132, pages 211-219.
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Ruoyu Wei, Jinde Cao & Chuangxia Huang. (2020) Lagrange exponential stability of quaternion‐valued memristive neural networks with time delays. Mathematical Methods in the Applied Sciences 43:12, pages 7269-7291.
Crossref
Zhengwen Tu, Dandan Wang, Xinsong Yang & Jinde Cao. (2020) Lagrange stability of memristive quaternion-valued neural networks with neutral items. Neurocomputing 399, pages 380-389.
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Libin Liu & Xiaofeng Chen. (2020) State Estimation of Quaternion-Valued Neural Networks with Leakage Time Delay and Mixed Two Additive Time-Varying Delays. Neural Processing Letters 51:3, pages 2155-2178.
Crossref
Zhengwen Tu, Liangwei Wang, Tao Peng, Liangliang Li & B.O. Onasanya. (2019) Lagrange stability analysis for quaternion-valued memristive neural networks. Lagrange stability analysis for quaternion-valued memristive neural networks.

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