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Distributed Fault-Tolerant Control of Uncertain Multi-Agent Systems with Connectivity Maintenance

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j.urnal of Systems Science & Complexity 2024年第1期37卷 40-62页

作者： xing Xueyan HU Guoqiang Continental-NTU Corporate Lab Nanyang Technological UniversitySingapore 639798Singapore Continental-NTU Corporate Lab and the School of Electrical and Electronic Engineering Nanyang Technological UniversitySingapore 639798Singapore

In this paper,a distributed cooperative control protocol is presented to deal with actuator failures of multi-agent systems in the presence of connectivity *** the developed strategy,each agent can track the reference traj.ctory of the leader in the presence of actuator failures,disturbances and *** connectivity of the multi-agent system can always be ensured during the control *** achieve the aforementioned control obj.ctives,a potential function is introduced to the distributed adaptive fault-tolerant control algorithm to preserve the initial connected network among the *** uncertainty of the multi-agent system,which is allowed to be described by discontinuous functions,is approximated and compensated using the fuzzy logic *** asymptotic stability of the closed-loop system is demonstrated through the use of Cellina’s approximate selection theorem of nonsmooth *** to the developed adaptive laws,the upper bound of the disturbance is allowed to be uncertain,which facilitates the implementation of the control ***,simulation results are provided to verify the effectiveness of the proposed control scheme.

关键词： Actuator failure connectivity maintenance coordination control uncertainties

First and Second Order Asymptotics of the Spectral Risk Measure for Portfolio Loss Under Multivariate Regular Variation

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j.urnal of Systems Science & Complexity 2020年第5期33卷 1533-1544页

作者： xing Guodong YANG Shanchao School of Mathematics and Statistics Hefei Normal UniversityHefei 230601China School of Mathematicsand Statistics Yulin Normal UniversityYulin 537000China School of Mathematics and Statistics Guangri Normnl UniversityGuilin 541004China

In the context of multivariate regular variation,the authors establish the first-order asymptotics of the spectral risk measure of portfolio ***,by the notion of second-order regular variation,the second-order asymptotics of the spectral risk measure of portfolio loss is also *** order to illustrate the derived results,a numerical example with Monte Carlo simulation is carried out.

关键词： Asymptotics multivariate regular variation regular variation second-order regular variation spectral risk measure value-at-risk

Two novel phase transition materials based on 1-isopropyl-1,4-diazabicyclo[2.2.2]octan-1-ium

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Chinese Chemical Letters 2017年第2期28卷 400-406页

作者： Li-Zhuang Chen xing-xing Cao School of Biology and Chemical Engineering Jiangsu University of Science and Technology Zhenjiang 212003 China

Two novel phase transition materials,[C9H20N2][Na（BF4）3]（1） and[C9H20N2][（PF6）2]（2）,were synthesized based on 1-isopropyl-1,4-diazabicyclo[2.2.2]octan-1-ium with sodium tetrafluoroborate and hexafluorophosphoric acid,*** scanning calorimetry measurements detected that 1 and 2 underwent reversible phase transitions,which were confirmed by dielectric *** crystal X-ray diffraction data suggested that compound 1 changed from a high temperature phase with a space group of P6_3 to a low temperature one with a space group of P21/c,and that compound 2transformed from the space group of Pbca at room temperature to P21/c at low *** of hydrogen bonds and distortion of l,4-diazabicyclo[2.2.2]octane rings may drive the transitions.

关键词： X-ray diffraction Phase transition Dielectric Differential scanning calorimetry

Dynamic statistical information theory

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Science China(Physics,Mechanics & Astronomy) 2006年第1期49卷 1-37页

作者： xing Xiusan Department of Physics Beijing Institute of Technology Beijing 100081 China

In recent years we extended Shannon static statistical information theory to dynamic processes and established a Shannon dynamic statistical information theory, whose core is the evolution law of dynamic entropy and dynamic information. We also proposed a corresponding Boltzmman dynamic statistical information theory. Based on the fact that the state variable evolution equation of respective dynamic systems, i.e. Fok- ker-Planck equation and Liouville diffusion equation can be regarded as their information symbol evolution equation, we derived the nonlinear evolution equations of Shannon dy- namic entropy density and dynamic information density and the nonlinear evolution equa- tions of Boltzmann dynamic entropy density and dynamic information density, that de- scribe respectively the evolution law of dynamic entropy and dynamic information. The evolution equations of these two kinds of dynamic entropies and dynamic informations show in unison that the time rate of change of dynamic entropy densities is caused by their drift, diffusion and production in state variable space inside the systems and coordinate space in the transmission processes; and that the time rate of change of dynamic infor- mation densities originates from their drift, diffusion and dissipation in state variable space inside the systems and coordinate space in the transmission processes. Entropy and in- formation have been combined with the state and its law of motion of the systems. Fur- thermore we presented the formulas of two kinds of entropy production rates and infor- mation dissipation rates, the expressions of two kinds of drift information flows and diffu- sion information flows. We proved that two kinds of information dissipation rates (or the decrease rates of the total information) were equal to their corresponding entropy produc- tion rates (or the increase rates of the total entropy) in the same dynamic system. We obtained the formulas of two kinds of dynamic mutual informations and

关键词： evolution equation of Shannon information (entropy) evolution equation of Boltzmann informa-tion (entropy) information (entropy) flow information (entropy) diffusion entropy production rate informa- tion dissipation rate dynamic mutual infomation dynamic chamnel capacity.

Numerical Prediction of Mean Radiant Temperature in Radiant Cooling Indoor Environments

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j.urnal of Thermal Science 2022年第2期31卷 359-369页

作者： xing Daoming LI Nianping College of Civil Engineering Hunan UniversityChangsha 410081China

Mean radiant temperature(MRT)is an indispensable physical parameter of indoor thermal *** in indoor environments controlled by radiant systems,MRT plays an important role in thermal *** order to determine MRT of indoor environments controlled by radiant cooling systems quickly and inexpensively,a numerical program is developed in this *** on the finite element method(FEM),view factors and radiant temperature fields are numerically *** singular solution problem generated by FEM is corrected using the Monte Carlo *** numerical program is validated against the results of an experiment performed in a radiant cooling laboratory and the reported data from previous *** radiant temperature fields of different shaped surfaces in a radiant cooling indoor environment are predicted,and thermal comfort level is preliminarily evaluated.

关键词： mean radiant temperature view factor radiant cooling asymmetric radiation thermal comfort

Equivalent characterizations of Hardy spaces with variable exponent via wavelets

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Frontiers of Mathematics in China 2019年第4期14卷 737-759页

作者： xing FU Faculty of Mathematics and Statistics Hubei University Wuhan 430062 China

Via the boundedness of intrinsic g-functions from the Hardy spaces with variable exponent,Hp(·)(Rn),into Lebesgue spaces with variable exponent,Lp(·) (Rn),and establishing some estimates on a discrete Littlewood-Paley g-function and a Peetre-type maximal function,we obtain several equivalent characterizations of Hp(·)(Rn) in terms of wavelets,which extend the wavelet characterizations of the classical Hardy *** main ingredients are that,we overcome the difficulties of the quasi-norms of Hp(·)(Rn) by elaborately using an observation and the Fefferman-Stein vector-valued maximal inequality on Lp(·)(Rn),and also overcome the difficulty of the failure of q =2 in the atomic decomposition of Hp(·) (Rn) by a known idea.

关键词： Hardy space Peetre-type maximal function Littlewood-Paley g-function variable exponent wavelet atom

The Blow-up Rate for Positive Solutions of Indefinite Parabolic Problems and Related Liouville Type Theorems

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Acta Mathematica Sinica,English Series 2009年第3期25卷 503-518页

作者： Ruixiang xing School of Mathematical Sciences Sun Yat-sen University Guangzhou 510275 P. R. China

In this paper, we derive an upper bound estimate of the blow-up rate for positive solutions of indefinite parabolic equations from Liouville type theorems. We also use moving plane method to prove the related Liouvill... 详细信息

关键词： blow up rate indefinite problem Liouville type theorem moving plane method semilinear parabolic problem

Construction of enhanced multi-polarization and high performance electromagnetic wave absorption by self-growing ZnFe_(2)O_(4)on Cu_(9)S_(5)

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International j.urnal of Minerals,Metallurgy and Materials 2024年第8期31卷 1922-1934页

作者： Wenxiong Chen Honglong xing School of Chemical Engineering Anhui University of Science and TechnologyHuainan 232001China

The development of 3D structural composites with electromagnetic(EM)wave absorption could attenuate EM ***,magnetized flower-like Cu_(9)S_(5)/ZnFe_(2)O_(4)composites were fabricated through a multistep hydrothermal *** crystallographic and surface phase chemical information,morphological structure,and magnetic and EM parameters of the composites were *** prepared Cu_(9)S_(5)/ZnFe_(2)O_(4)composites have multiple loss paths for EM waves and present an overall 3D flower-like *** Cu_(9)S_(5)/ZnFe_(2)O_(4)composites exhibit a minimum reflection loss of-54.38 dB and a broad effective absorption bandwidth of 5.92 *** magnetization,ZnFe_(2)O_(4)particles are self-assembled and grown on the surfaces of Cu_(9)S_(5).Such a modification is conducive to the generation of additional cross-linking contact sites and the effective introduction of a large number of phase interfaces,crystalline defects,special three-dimensional flower-like structures,and magneto-electrical coupling loss ***,the synergistic effect of multiple loss strategies effectively improves EM wave absorption by the *** work can provide a strategy for the use of magnetizationmodified sulfide composite functional materials in EM wave absorption.

关键词： self-assembled material electromagnetic wave absorption enhanced multi-polarization effect Cu_(9)S_(5)/ZnFe_(2)O_(4)composites radar cross-section

Local Exact Boundary Synchronization for a Kind of First Order Quasilinear Hyperbolic Systems

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Chinese Annals of Mathematics,Series B 2019年第1期40卷 79-96页

作者： xing LU School of Mathematics Southeast University School of Mathematical Sciences Fudan University

In this paper, the synchronization for a kind of first order quasilinear hyperbolic system is taken into account. In this system, all the equations share the same positive wave speed. To realize the synchronization, a uniform constructive method is adopted, rather than an iteration process usually used in dealing with nonlinear systems. Furthermore,similar results on the exact boundary synchronization by groups can be obtained for a kind of first order quasilinear hyperbolic system of equations with different positive wave speeds by groups.

关键词： Exact boundary synchronization Quasilinear hyperbolic system Exact boundary synchronization by groups