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Interval standard neural network models for nonlinear systems

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2006年第4期7卷 530-538页

作者： liu mei-qin School of Electrical Engineering Zhejiang University Hangzhou 310027 China

A neural-network-based robust control design is suggested for control of a class of nonlinear systems. The design ap- proach employs a neural network, whose activation functions satisfy the sector conditions, to approximate the nonlinear system. To improve the approximation performance and to account for the parameter perturbations during operation, a novel neural network model termed standard neural network model (SNNM) is proposed. If the uncertainty is bounded, the SNNM is called an interval SNNM (ISNNM). A state-feedback control law is designed for the nonlinear system modelled by an ISNNM such that the closed-loop system is globally, robustly, and asymptotically stable. The control design equations are shown to be a set of linear matrix inequalities (LMIs) that can be easily solved by available convex optimization algorithms. An example is given to illustrate the control design procedure, and the performance of the proposed approach is compared with that of a related method reported in literature.

关键词： Interval standard neural network model (ISNNM) Linear matrix inequality (LMI) Nonlinear system Asymptotic stability Robust control

Vertex-Fault-Tolerant Cycles Embedding on Enhanced Hypercube Networks

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Acta Mathematicae Applicatae Sinica 2016年第1期32卷 187-198页

作者： Min liu Hong-mei liu Faculty of Mathematics and Statistics Central China Normal University College of Science China Three Gorges University

In this paper,we focus on the vertex-fault-tolerant cycles embedding on enhanced hypercube,which is an attractive variant of hypercube and is obtained by adding some complementary edges from *** Fv be the set of faulty vertices in the n-dimensional enhanced hypercube Qn,k（1 ≤ k≤n- 1）.When ｜F_v｜ = 2,we showed that Qn,k-Fv contains a fault-free cycle of every even length from 4 to 2^n- 4 where n（n ≥ 3） and fc have the same parity;and contains a fault-free cycle of every even length from 4 to 2^n- 4,simultaneously,contains a cycle of every odd length from n — fc ＋ 2 to 2^n-3 where n（≥ 3） and fc have the different ***,when ｜Fv｜= fv ≤ n- 2,we proof that there exists the longest fault-free cycle,which is of even length 2^n- 2fv whether n（n 〉 3） and fe have the same parity or not;and there exists the longest fault-free cycle,which is of odd length 2^n-2fv- 1 in Qn,k — Fv where n（≥ 3） and fc have the different parity.

关键词： enhanced hypercube vertex-fault-tolerant embedding cycles

The Infiuence of Velocity-dependent Correction Factor on Proton Decay Reactions in Massive White Dwarfs

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Research in Astronomy and Astrophysics 2024年第3期24卷 169-179页

作者： Jing-Jing liu Dong-mei liu College of Science Hainan Tropical Ocean UniversitySanya 572022China

Twenty-five typical massive white dwarfs(WDs)are selected and the proton decay reaction catalyzed by magnetic monopoles(MMs)for these WDs is discussed.A velocity-dependent correction factor strongly affects the *** find that a strong suppression controls the monopole catalysis of nucleon decay by the correction *** maximum number of MMs is captured and the luminosity can be 2.235×10^(21)and 1.7859×10^(32)erg s^(-1)(e.g.,for the O+Ne core mass WD J055631.17+130639.78).The luminosities of most massive WDs agree well with the observations at relatively low temperatures(e.g.,T_(6)=0.1),but can be three and two orders of magnitude higher than those of the observations for model(Ⅰ)and(Ⅱ)at relatively high temperatures(e.g.,T_(6)=10),*** luminosities of model(Ⅰ)are about one order of magnitude higher than those of model(Ⅱ).Since we consider the effect of the number of MMs captured on the mass–radius relation and the suppression of the proton decay by the correction factor,the study by model(Ⅱ)may be an improved estimation.

关键词： astroparticle physics-nuclear reactions-nucleosynthesis-abundances-(stars) white dwarfs

Iron group nuclei electron capture in super-Chandrasekhar superstrong magnetic white dwarfs

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Research in Astronomy and Astrophysics 2021年第11期21卷 153-164页

作者： Jing-Jing liu Dong-mei liu College of Science Hainan Tropical Ocean UniversitySanya 572022China

Using the theory of relativistic mean-field effective interactions,the influences of superstrong magnetic fields(SMFs)on electron Fermi energy,binding energy per nucleus and single-particle level structure are discussed in super-Chandrasekhar magnetic white *** on the relativistical SMFs theory model of Potekhin et al.,the electron chemical potential is corrected in SMFs,and the electron capture(EC)of iron group nuclei is investigated by using the Shell-Model Monte Carlo method and Random Phase Approximation *** EC rates can increase by more than three orders of magnitude due to the increase of the electron Fermi energy and the change of single-particle level structure by ***,the EC rates can decrease by more than four orders of magnitude due to increase of the nuclei binding energy by *** compare our results with those of FFNs(Fuller et al.),AUFDs(Aufderheide et al.)and Nabi(Nabi et al.).Our rates are higher by about four orders of magnitude than those of FFN,AUFD and Nabi due to *** study may have important reference value for subsequent studies of the instability,mass radius relationship,and thermal and magnetic evolution of super-Chandrasekhar magnetic white dwarfs.

关键词： nuclear reactions,nucleosynthesis,abundances stars:white dwarfs

Echo State Network With Probabilistic Regularization for Time Series Prediction

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IEEE/CAA Journal of Automatica Sinica 2023年第8期10卷 1743-1753页

作者： Xiufang Chen mei liu Shuai Li the Engineering Research Center of Open Source Software and Real-Time Systems Ministry of EducationSchool of Information Science and EngineeringLanzhou UniversityLanzhou 730000China IEEE

Recent decades have witnessed a trend that the echo state network(ESN)is widely utilized in field of time series prediction due to its powerful computational ***,most of the existing research on ESN is conducted under the assumption that data is free of noise or polluted by the Gaussian noise,which lacks robustness or even fails to solve real-world *** work handles this issue by proposing a probabilistic regularized ESN(PRESN)with robustness ***,we design a novel objective function for minimizing both the mean and variance of modeling error,and then a scheme is derived for getting output weights of the ***,generalization performance,robustness,and unbiased estimation abilities of the PRESN are revealed by theoretical ***,experiments on a benchmark dataset and two real-world datasets are conducted to verify the performance of the proposed *** source code is publicly available at https://***/LongJinlab/probabilistic-regularized-echo-state-network.

关键词： Echo state network(ESN) noise probabilistic regularization robustness

On RNN-Based k-WTA Models With Time-Dependent Inputs

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IEEE/CAA Journal of Automatica Sinica 2022年第11期9卷 2034-2036页

作者： mei liu Mingsheng Shang the Chongqing Key Laboratory of Big Data and Intelligent Computing Chongqing Institute of Green and Intelligent TechnologyChinese Academy of SciencesChongqing 400714 the Chongqing School University of Chinese Academy of SciencesChongqing 400714China

Dear editor,This letter identifies two weaknesses of state-of-the-art k-winnerstake-all(k-WTA)models based on recurrent neural networks(RNNs)when considering time-dependent inputs,i.e.,the lagging error and the infeas... 详细信息

关键词： letter convergence finite

Supernova β^- decay of nuclides ^(53)Fe,^(54)Fe,^(55)Fe and ^(56)Fe in strongly screened plasma

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Research in Astronomy and Astrophysics 2018年第1期18卷 95-100页

作者： Jing-Jing liu Dong-mei liu College of Electronic and Communication Engineering Hainan Tropical Ocean University

Electron screening has strong effects on electron energy and threshold energy of the beta decay *** this paper,we study β~-decay rates of some iron *** beta decay rates increase by about two orders of magnitude due to electron *** screened beta decay rates due to Q-value correction are more than one order of magnitude higher than those without Q-value correction.

关键词： physical data and processes:nuclear reactions nucleosynthesis abundances stars:supernovae

Nonuniform Three-dimensional Configuration Distributed SAR Signal Reconstruction Clutter Suppression

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Chinese Journal of Aeronautics 2012年第3期25卷 423-429页

作者： liu mei ZHANG Lei LI Chenlei School of Electronics Information Engineering Harbin Institute of TechnologyHarbin 150001China

This paper deals with the problem of clutter suppression in spaceborne distributed synthetic aperture radar （D-SAR） with nonuniform three-dimensional （3D） configuration geometry. In order to make a breakthrough of the configuration limitation of the traditional space time adaptive processing （STAP） based on uniform array and improve the inhomogeneous clutter suppres- sion performance, this paper considers signal reconstrtiction technique using array interpolation to process the D-SAR signal. An array interpolation signal reconstruction method based on pitching-partition is derived then a signal reconstruction 3D-STAP clutter suppression method applied to nonuniform 3D configuration is proposed. In particular, the proposed method is compared with conventional methods and the performance analysis is carried out based on simulations. The improvement factor （IF） for clutter suppression is imported and reported as a benchmark on the clutter suppression effect.

关键词： distributed synthetic aperture radar nonunitform 3D configuration clutter suppression signal reconstruction STAP

Modeling and Analysis of Matthew Effect Under Switching Social Networks via Distributed Competition

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IEEE/CAA Journal of Automatica Sinica 2022年第7期9卷 1311-1314页

作者： mei liu Suibing Li Long Jin School of Information Science and Engineering Lanzhou UniversityLanzhou 730000 State Key Laboratory of Tibetan Intelligent Information Processing and Application Xining 810016China IEEE

Dear editor,This letter models and analyzes the Matthew effect under switching social networks via distributed competition.A competitive strategy is leveraged to trace the evolution of individuals in social systems under the Matthew *** addition,a consensus filter is utilized to decentralize the model with undirected graphs used to describe the interactions among individuals in social ***,a term is added to the dynamic consensus filter to compensate for the influence of the switching of communication networks on the *** this letter,the convergence of the proposed Matthew effect model is theoretically proved,and simulative experiments are conducted to verify the availability of the *** particular,this letter points out the state and evolution of each individual in social systems with distributed competition,and the influence of the social environment on the development of individuals is also intuitively displayed.

关键词： effect. letter intuitive