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O(t^(-β))-SYNCHRONIZATION AND ASYMPTOTIC SYNCHRONIZATION OF DELAYED FRACTIONAL ORDER NEURAL NETWORKS

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Acta Mathematica Scientia 2022年第4期42卷 1273-1292页

作者： Anbalagan PRATAP Ramachandran RAJA jinde cao Chuangxia HUANG Jehad ALZABUT Ovidiu BAGDASAR Department of Mathematics Alagappa UniversityKaraikudi 630004India Ramanujan Centre for Higher Mathematics Alagappa UniversityKaraikudi 630004India School of Mathematics Southeast UniversityNanjing 211189China Yonsei Frontier Lab Yonsei UniversitySeoul03722South Korea Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and TechnologyChangsha410114China Department of Mathematics and General Sciences Prince Sultan UniversityRiyadh 12435Saudi Arabia Department of Electronics Computing and MathematicsUniversity of DerbyUnited Kingdom

This article explores the O(t^(-β))synchronization and asymptotic synchronization for fractional order BAM neural networks(FBAMNNs)with discrete delays,distributed delays and non-identical *** designing a state feedback control law and a new kind of fractional order Lyapunov functional,a new set of algebraic sufficient conditions are derived to guarantee the O(t^(-β))Synchronization and asymptotic synchronization of the considered FBAMNNs model;this can easily be evaluated without using a MATLAB LMI control ***,two numerical examples,along with the simulation results,illustrate the correctness and viability of the exhibited synchronization results.

关键词： O(t^(-β))-synchronization asymptotic synchronization BAM neural networks fractional order state feedback control law

Consensus of fractional-order linear systems

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Consensus of fractional-order linear systems

第五届国际自动控制联合会分数阶导数及其应用会议

作者： Chao Song jinde cao Research Center for Complex Systems and Network Sciences and Department of Mathematics Southeast University Nanjing 210096 P. R. China Department of Basic Courses Nanjing Institute of Technology Nanjing 211167 P. R. China Research Center for Complex Systems and Network Sciences andDepartment of Mathematics Southeast University Nanjing 210096P. R. China

＜正＞This paper studies the consensus control problem for a group of fractional-order linear multi-agent systems （MASs） with directed interaction topology when the fractional orderαsatisfies0＜α＜2,by transformin... 详细信息

关键词： consensus multi-agent system fractional-order system linear matrix inequality fractional order Linear system stability theory matrices linear matrix inequalities

Machine Learning Model Comparison for Automatic Segmentation of Intracoronary Optical Coherence Tomography and Plaque Cap Thickness Quantification

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Computer Modeling in Engineering & Sciences 2020年第5期123卷 631-646页

作者： Caining Zhang Xiaopeng Guo Xiaoya Guo David Molony Huaguang Li Habib Samady Don PGiddens Lambros Athanasiou Dalin Tang Rencan Nie jinde cao School of Biological Science and Medical Engineering Southeast UniversityNanjing210096China School of Information Science and Engineering Yunnan UniversityKunming650091China School of Science Nanjing University of Posts and TelecommunicationsNanjing210023China Department of Medicine Emory University School of MedicineAtlantaGA30307USA The Wallace H.Coulter Department of Biomedical Engineering Georgia Institute of TechnologyAtlantaGA30332USA Institute for Medical Engineering and Science Massachusetts Institute of TechnologyCambridgeMA02139USA Mathematical Sciences Department Worcester Polytechnic InstituteWorcesterMA 01609USA School of Mathematics Southeast UniversityNanjing210096China

Optical coherence tomography(OCT)is a new intravascular imaging technique with high resolution and could provide accurate morphological information for plaques in coronary ***,its segmentation is still commonly performed manually by experts which is *** aim of this study was to develop automatic techniques to characterize plaque components and quantify plaque cap thickness using 3 machine learning methods including convolutional neural network(CNN)with U-Net architecture,CNN with Fully convolutional DenseNet(FC-DenseNet)architecture and support vector machine(SVM).In vivo OCT and intravascular ultrasound(IVUS)images were acquired from two patients at Emory University with informed consent *** OCT image slices which included lipid core and with acceptable image quality were selected for our *** segmentation from imaging experts was used as the gold standard for model training and *** OCT has limited penetration,virtual histology IVUS was combined with OCT data to improve reliability.A 3-fold cross-validation method was used for model training and *** overall tissue classification accuracy for the 18 slices studied(total classification database sample size was 8580096 pixels)was 96.36%and 92.72%for U-Net and FC-DenseNet,*** best average prediction accuracy for lipid was 91.29%based on SVM,compared to 82.84%and 78.91%from U-Net and FC-DenseNet,*** overall average accuracy(Acc)differentiating lipid and fibrous tissue were 95.58%,92.33%and 81.84%for U-Net,FC-DenseNet and SVM,*** average errors of U-Net,FC-DenseNet and SVM from the 18 slices for cap thickness quantification were 8.83%,10.71%and 15.85%.The average relative errors of minimum cap thickness from 18 slices of U-Net,FC-DenseNet and SVM were 17.46%,13.06%and 22.20%,*** conclude,CNN-based segmentation methods can better characterize plaque compositions and quantify plaque cap thickness on

关键词： Image segmentation plaque cap thickness OCT CNN SVM

Convergence in Continuous Hopfield Neural Network with Delays

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生物数学学报 1996年第4期11卷 12-15页

作者： cao jinde Li Qiong(Adult Education College of Yunnan University，Kunming 650091)(Kunming Junior Normal College)

A sufficient condition are derived for the global asymptotic stability of the equilibrium of continuous Hopfield neural networks with delays of the

关键词： Hopfield neural network Stability

Non-fragile H∞ state estimation for event-triggered nonlinear networked systems subject to deception attacks

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Non-fragile H∞ state estimation for event-triggered nonline...

第40届中国控制会议

作者： Lijuan Zha Jinliang Liu jinde cao School of Mathematics Southeast University College of Information Engineering Nanjing University of Finance and Economics

This paper investigates the problem of event-triggered H∞ state estimation for nonlinear networked systems subject to deception attacks. Because of the constrained networked communication resources, an event-triggered communication scheme is implemented to deal with this problem. The communication network is assumed to be subject to stochastic deception attacks which aim to replace the normal transmitted data. We firstly establish the estimation error system under the event-triggered communication scheme and the deception attacks. Based on the model, the exponential stability criteria are derived. Moreover, the event-triggering parameter and the state estimator gain are co-designed. Finally, the obtained results are verified by a numerical example.

关键词： state estimation event-triggered communication scheme deception attacks networked systems

Observability of SBCNs under arbitrary switching signals

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Observability of SBCNs under arbitrary switching signals

第37届中国控制会议

作者： Huachao Liu Yang Liu jinde cao College of Mathematics Physics and Information Engineering Zhejiang Normal University Jiangsu Provincial Key Laboratory of Networked Collective Intelligence Southeast University School of Mathematics Southeast University

In this paper, we investigate the observability of switched Boolean control networks（BCNs） under arbitrary switching signals via semi-tensor product of matrices. A necessary and sufficient condition is obtained to judge whether or not a given SBCN is observable. The feedback control laws are obtained to guarantee the observability of SNCNs under arbitrary switching signals.

关键词： Switched Boolean control network observability semi-tensor product

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具有连续分布时滞模型的稳定性分析

工程数学学报 2000年第1期17卷 7-11页

作者：曹进德云南大学成人教育学院昆明650091

应用 Lyapunov泛函方法讨论了具有连续分布时滞神经网络模型　　 x′i(t) =- bixi(t) +∑nj=1aijfj μj∫t-∞ kij(t- x) xj(s) ds +Fi(t) ,i =1 ,2 ,… ,n平衡点的稳定性 ,获得了一些新的充分条件。

关键词：连续分布时滞稳定性平衡点神经网络模型

Passivity criterion for delayed neural networks with various activation functions and uncertain output

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Passivity criterion for delayed neural networks with various...

第一届全国神经动力学学术会议

作者： Manfeng Hu jinde cao Yongqing Yang School of Automation Southeast University School of Science Jiangnan University Department of Mathematics Southeast University

This paper deals with the issue of passivity analysis for delayed neural networks with various activation functions and uncertain output. By using the Lyapunov-Krasovskii functional and a scaling parameter approach, the passivity criterion is presented in terms of linear matrix inequalities. Two numerical examples are given to show the effectiveness and less conservatism of the proposed result.

关键词： Passivity uncertain output various activation functions neural networks time-varying delay

STUDY OF PERIODIC SOLUTIONS OF FOURTH ORDER NDE WITH DELAYS

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Annals of Differential Equations 2005年第3期21卷 469-473页

作者： Xie Xin He Guangming cao jinde Dept. of Math. Huangshan College Huangshan 245021 Dept. of Math. Bengbu Tank Institute Bengbu 233013 Dept. of Applied Math. Southeast University Nanjing 210096

Using Fourier series theory and techniques of real analysis inequality, some sufficient conditions of existence and uniqueness of periodic solutions for a class of fourth order neutral differential equations with some... 详细信息

关键词： fourier series neutral differential equations periodic solution