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Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays

Yongkun Li, Jianglian Xiang
2019 Complexity  
In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays.  ...  Second, based on the Banach fixed point theorem, we establish the existence and uniqueness of almost periodic solutions of the considered neural networks.  ...  Acknowledgments This work is supported by the National Natural Sciences Foundation of China under Grant No. 11861072.  ... 
doi:10.1155/2019/6982109 fatcat:n7gjxchdzfbybizh4krjuf6qla

Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales

Shiping Shen, Bing Li, Yongkun Li
2018 Discrete Dynamics in Nature and Society  
A class of quaternion-valued fuzzy cellular neural networks with time-varying delays on time scales is proposed.  ...  class of neural networks are established.  ...  Introduction Since Yang and Yang [1] first introduced fuzzy cellular neural networks (FCNNs) combining fuzzy operations (fuzzy AND and fuzzy OR) with cellular neural networks, FCNNs have been successfully  ... 
doi:10.1155/2018/5290786 fatcat:5dxpcfkqsrewrin2ut7bi7xbxq

Existence and Global Attractivity of Pseudo Almost Periodic Solutions for Clifford-Valued Fuzzy Neural Networks with Proportional Delays

Wen Lv, Bing Li
2021 Mathematics  
In this paper, Clifford-valued fuzzy neural networks with proportional delays, whose leakage term coefficients are also Clifford numbers, are considered.  ...  Based on the Banach fixed point theorem and differential inequality technique, we use a direct method to obtain the existence, uniqueness, and global attractivity of pseudo almost periodic solutions for  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/math9243306 fatcat:7722abdaxndafeebn2ufw4uspi

Finite-/fixed-time synchronization of delayed Clifford-valued recurrent neural networks

N. Boonsatit, G. Rajchakit, R. Sriraman, C. P. Lim, P. Agarwal
2021 Advances in Difference Equations  
AbstractThis paper investigates the problem of finite-/fixed-time synchronization for Clifford-valued recurrent neural networks with time-varying delays.  ...  Then, suitable time-delayed feedback controllers are devised to investigate the synchronization problem in finite-/fixed-time of error system.  ...  Funding The research is supported by the Rajamangala University of Technology Suvarnabhumi, Thailand.  ... 
doi:10.1186/s13662-021-03438-1 fatcat:s5kubhlhvffore565sjwc6m3hu

New Stability Criterion for Fractional-Order Quaternion-Valued Neural Networks Involving Discrete and Leakage Delays

Bingjun Li, Bingnan Tang, Lifeng Wu
2021 Journal of Mathematics  
In the current work, we are devoted to the issue of uniform stability of fractional-order quaternion-valued neural networks involving discrete and leakage delays.  ...  Taking advantage of mathematical analysis strategy, a sufficient criterion involving delay to verify the global uniform stability for the considered fractional-order quaternion-valued neural networks is  ...  Acknowledgments is work was supported by Natural Science Foundation of Guizhou Province (no. ZK2021019) and Guizhou University of Finance and Economics (nos. 2018YJ19 and 2018JGZZD04).  ... 
doi:10.1155/2021/9988073 fatcat:s3ilmjo5szbfdbolbnhlhmy75m

Global exponential stability of Clifford-valued neural networks with time-varying delays and impulsive effects

G. Rajchakit, R. Sriraman, N. Boonsatit, P. Hammachukiattikul, C. P. Lim, P. Agarwal
2021 Advances in Difference Equations  
AbstractIn this study, we investigate the global exponential stability of Clifford-valued neural network (NN) models with impulsive effects and time-varying delays.  ...  By taking impulsive effects into consideration, we firstly establish a Clifford-valued NN model with time-varying delays.  ...  with regard to jurisdictional claims in published maps and institutional affiliations.  ... 
doi:10.1186/s13662-021-03367-z fatcat:2a4ouenesbf4dknhhyozfhbx6q

Exponential stability in the Lagrange sense for Clifford-valued recurrent neural networks with time delays

G. Rajchakit, R. Sriraman, N. Boonsatit, P. Hammachukiattikul, C. P. Lim, P. Agarwal
2021 Advances in Difference Equations  
AbstractThis paper considers the Clifford-valued recurrent neural network (RNN) models, as an augmentation of real-valued, complex-valued, and quaternion-valued neural network models, and investigates  ...  In order to address the issue of non-commutative multiplication with respect to Clifford numbers, we divide the original n-dimensional Clifford-valued RNN model into $2^{m}n$ 2 m n real-valued models.  ...  with regard to jurisdictional claims in published maps and institutional affiliations.  ... 
doi:10.1186/s13662-021-03415-8 fatcat:grot3o5uwrbdtoib6dn5adjrxi

2021 Index IEEE Transactions on Systems, Man, and Cybernetics: Systems Vol. 51

2021 IEEE Transactions on Systems, Man & Cybernetics. Systems  
-that appeared in this periodical during 2021, and items from previous years that were commented upon or corrected in 2021.  ...  The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination.  ...  Exponential Stability of Delayed Generalized Neural Networks With Intermittent Large-Delay Periods.  ... 
doi:10.1109/tsmc.2021.3136054 fatcat:b5hcsfwjw5hllpenqmaq6wpke4

2021 Index IEEE Transactions on Neural Networks and Learning Systems Vol. 32

2021 IEEE Transactions on Neural Networks and Learning Systems  
-that appeared in this periodical during 2021, and items from previous years that were commented upon or corrected in 2021.  ...  The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination.  ...  ., +, TNNLS July 2021 3046-3055 On μ-Pseudo Almost Periodic Solutions for Clifford-Valued Neutral Type Neural Networks With Delays in the Leakage Term.  ... 
doi:10.1109/tnnls.2021.3134132 fatcat:2e7comcq2fhrziselptjubwjme

Bifurcation Study on Fractional-Order Cohen–Grossberg Neural Networks Involving Delays

Bingnan Tang, Chuangxia Huang
2020 Mathematical Problems in Engineering  
Firstly, we study the stability and the appearance of Hopf bifurcation of the involved neural networks with identical delay ϑ 1 = ϑ 2 = ϑ .  ...  This work is chiefly concerned with the stability behavior and the appearance of Hopf bifurcation of fractional-order delayed Cohen–Grossberg neural networks.  ...  Acknowledgments is study was supported by the Social Science Fund Project of Jiangsu Institute of Technology (no. KYY17504).  ... 
doi:10.1155/2020/8833366 fatcat:fj5ujmedezh7xpl3doefy7kheq

2021 Index IEEE Transactions on Circuits and Systems II: Express Briefs Vol. 68

2021 IEEE Transactions on Circuits and Systems - II - Express Briefs  
-that appeared in this periodical during 2021, and items from previous years that were commented upon or corrected in 2021.  ...  The primary entry includes the coauthors' names, the title of the paper or other item, and its location, specified by the publication abbreviation, year, month, and inclusive pagination.  ...  ., +, TCSII July 2021 2523-2527 Event-Triggered Synchronization for Discrete-Time Neural Networks With Unknown Delays.  ... 
doi:10.1109/tcsii.2022.3144928 fatcat:bm53w7gva5bthholfhhiq4yg3a

Table of Contents

2021 2021 40th Chinese Control Conference (CCC)   unpublished
LIANG Rongguo, REN Shun-Yan, WANG Jin-Liang 818 Robust Finite-time Passivity and Synchronization of Coupled Complex-valued Memristive Neural Networks with Parameter Uncertainty . . . . . . . . . . . .  ...  LIANG Cong, XU Xing, WANG Feng 1405 Exponential Synchronization of Switched Cellular Neural Networks via AED-ADT Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ... 
doi:10.23919/ccc52363.2021.9550117 fatcat:55y7a2gagfhtpc6llmfvl7gqpm

Introduction to Semi-discrete Calculus [article]

Amir Shachar
2022 arXiv   pre-print
The Infinitesimal Calculus explores mainly two measurements: the instantaneous rates of change and the accumulation of quantities.  ...  While it seems to be a special case of the rate (via the derivative sign), this work proposes a separate and favorable mathematical framework for the trend, called Semi-discrete Calculus.  ...  The slope sign can be obtained by comparing the input's current value with a sample of u delayed by one symbol period.  ... 
arXiv:1012.5751v8 fatcat:jmezjckexbhordebtjyl6r3w4y

Online) International Journal of Network Security is published both in traditional paper form (ISSN 1816-353X) and in Internet

Min-Shiang Hwang, Shu-Fen Chiou, Chia-Chun Wu, Cheng-Yi Yang, Ajith Abraham, Korea, Wael Adi, Iqbal Sheikh, Ahamed, Vijay Atluri, Mauro Barni, Andrew Blyth (+115 others)
2017 International Journal of Network Security   unpublished
With the characteristic of spatial diversity and low cost, cooperative system is a tendency for the future communications.  ...  It is not suitable to apply to the equipment with low computing resources, such as Internet of Things (IoT) application.  ...  Acknowledgments This work is supported by the National Natural Science Foundation of China (No. 61363078), the Natural Science Foundation of Gansu Province of China (No. 1310RJYA004).  ... 
fatcat:vy4pp4thsfcrpakpwdjmdgjuoy