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The Stability of Traveling Waves with Non-critical Speeds for Some Competition Systems

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Acta Mathematicae Applicatae Sinica 2010年第4期26卷 643-652页

作者： ye zhao Department of Mathematics and Physics Beijing Institute of Petrolchemical-TechnologyBeijing 102617China

This paper is concerned with some quasilinear cross-diffusion systems which model competing species in mathematical *** detailed spectral analysis,each traveling wave solution with non-critical speed is proved to be l... 详细信息

关键词： traveling waves asymptotic stability spectral analysis

RBF neural network based on q-Gaussian function in function approximation

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Frontiers of Computer Science 2011年第4期5卷 381-386页

作者： Wei zhao ye SAN Control and Simulation Center Harbin Institute of Technology Harbin 150001 China

To enhance the generalization performance of radial basis function （RBF） neural networks, an RBF neural network based on a q-Gaussian function is proposed. A q-Gaussian function is chosen as the radial basis function of the RBF neural network, and a particle swarm optimization algorithm is employed to select the parameters of the network. The non-extensive entropic index q is encoded in the particle and adjusted adaptively in the evolutionary process of population. Simulation results of the function approximation indicate that an RBF neural network based on q-Gaussian function achieves the best generalization performance.

关键词： radial basis function (RBF) neural network,q-Gaussian function particle swarm optimization algo-rithm function approximation

Distributed filtering for time-varying networked systems with sensor gain degradation and energy constraint: a centralized finite-time communication protocol scheme

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Science China(Information Sciences) 2018年第9期61卷 241-255页

作者： ye zhao Xiao HE Donghua ZHOU National Laboratory for Information Science and Technology (TNList) and Department of Automation Tsinghua University College of Electrical Engineering and Automation Shandong University of Science and Technology

This paper focuses on the distributed filtering problem for a class of time-varying networked systems with sensor gain degradation and energy constrained communication protocol. To satisfy the requirement of power consumption and reduce the schedule computing complexity, centralized cyclic finite-time communication strategy optimization is taken into account. The networked system considered in this paper consists of spatially distributed sensors linked to their neighbor sensors, where each sensor node suffers from different gain degradation, and the transmission decisions of all the communication channels obey the centralized transmission schedule strategy identically. First, we present scattered communication action based on single-sensor transmission modeling with an energy constraint. Subsequently, an optimal communication protocol considering expected average error covariance is derived between the target system and each sensor node over the distributed sensor systems, based on a centralized finite-time scheme. Finally, by transforming the overall estimation error covariance of the systems at each sampling time into quadratic form, a conditionally unbiased least-square recursive distributed filtering technique over the networked system is designed at each sensor node. The system stability condition under such an optimal schedule is also accomplished with bounded covariance. A numerical example is provided to demonstrate the utility and effectiveness of the distributed filtering technique using the proposed optimized energy constrained communication protocol.

关键词： networked systems distributed filtering communication protocol centralized finite-time schedule energy constraint sensor gain degradation

Stability/Instability of Solitary waves with Nonzero Asymptotic Value for a PDE in Microstructural Solid Materials

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Acta Mathematicae Applicatae Sinica 2015年第3期31卷 693-700页

作者： ye zhao Miao-chao CHEN Department of Mathematics and Physics Beijing Institute of Petrolchemical Technology Department of Mathematics Chaohu University

The present paper deals with results of stability/instability of solitary waves with nonzero asymptotic value for a microstructure PDE. By the exact solitary wave solutions and detailed computations, we set up the explicit expression for the discrimination d′′（c）. Finally, a complete study of orbital stablity/instablity for the explicit exact solutions is given.

关键词： solitary waves microstructured solid orbital stability/instability spectral analysis

The existence and stability of traveling waves with transition layers for the S-K-T competition model with cross-diffusion

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Science China Mathematics 2010年第5期53卷 124-147页

作者： Wu YaPing zhao ye Capital Normal Univ Dept Math Beijing 100048 Peoples R China Beijing Inst Petrochem Technol Dept Math & Phys Beijing 102617 Peoples R China

This paper is concerned with the existence and stability of traveling waves with transition layers for a quasi-linear competition system with cross diffusion,which was first proposed by Shegesada,Kawasaki and *** one of the random diffusion rates is small and the cross-diffusion rate is not small,by the geometric singular perturbation method,the existence of traveling waves with transition layers is ***,by the detailed spectral analysis and topological index method,the traveling waves with transition layers are proved to be locally exponentially stable with shift.

关键词： traveling waves existence stability cross-diffusion spectral analysis unstable bundle

Regularity Criteria for the Three-dimensional MHD Equations

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Acta Mathematicae Applicatae Sinica 2011年第4期27卷 581-594页

作者： Lan LUO Yong-ye zhao Qing YANG Institute for Mathematics and Information Sciences Guangzhou University Cuangzhou 510006 China School of Mathematics and Computional Science Xiangtan University Xiangtan 411105 China

In this paper, we consider regularity criteria for solutions to the 3D MHD equations with incompressible conditions. By using some classical inequalities, we obtain the regularity of strong solutions to the three-dimensional MHD equations under certain sufficient conditions in terms of one component of the velocity field and the magnetic field respectively.

关键词： MHD equations strong solution regularity

Bearing capacity analysis using the method of characteristics

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Acta Mechanica Sinica 2013年第2期29卷 179-188页

作者： Jian-Ping Sun Zhi-ye zhao Yi-Pik Cheng School of Civil and Environmental Engineering Nanyang Technological University Department of Civil Environmental and Geomatic EngineeringUniversity College London

Using the method of characteristics,the bearing capacity for a strip footing is *** method of characteristics leads to an exact true limit load when the calculations of the three terms in the bearing capacity formula are consistent with one collapse mechanism and the soil satisfies the associated flow *** the same time,the method of characteristics avoids the assumption of arbitrary slip surfaces,and produces zones within which equilibrium and plastic yield are simultaneously satisfied for given boundary *** exact solution without superposition approximation can still be expressed by Terzaghi＇s equation of bearing capacity,in which the bearing capacity factor N γλ is dependent on the dimensionless parameter λ and the friction angle φ.The influence of groundwater on the bearing capacity of the shallow strip footing is considered,which indicates that when the groundwater effect is taken into account,the error induced by the superposition approximation can be reduced as compared with dry soil *** results are presented in the form of charts which give the modified value（Nwγλc /Nγλc） of bearing capacity ***,an approximated analytical expression,which provides results in close agreement with those obtained by numerical analysis in this paper,has been suggested for practical application purposes.

关键词： Bearing capacity·The method of characteristics·Groundwater·Strip footing

Bromate removal by gamma irradiation in aqueous solutions

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Nuclear Science and Techniques 2016年第1期27卷 44-49页

作者： zhao-Lian ye Xue-Hui Fang Hui-Qi Hou College of Chemistry and Environmental Engineering Jiangsu University of Technology Department of Environmental Science and Engineering Fudan University

Bromate(BrO_3) is a disinfection by-product in drinking water, and its removal is very difficult especially at low levels.60 Co gamma rays were used to remove BrO_3in aqueous solution in this study. The effects of absorbed doses, BrO_3initial concentration, gas saturation, p H value and coexisting anions(Cl, NO 3, SO2 4and HCO 3=CO_3^(2 -))on BrO_3reduction were evaluated. After 4.0-k Gy irradiation of air-equilibrated solution of 30.7 lg/L BrO_3, the residual BrO_3was 8.3 lg/L, which is below the maximum contaminant level of drinking water. The BrO_3reduction rate increased with the dose, in the order of N2[ air [ O_2[ N_2O atmosphere under similar conditions. The results also show that high p H favored the BrO_3removal. According to the experimental results, it can be concluded that the efficiency of decomposing BrO_3by reactive species followed the order of e aq[ H [ HO_2 [ O_2. Coexisting Cl, HCO 3=CO_3^(2 -)and SO2 4ions have little effect on BrO_3removal, whereas NO_3can inhibit its removal as a result of competition with BrO_3for e aq.

关键词： γ射线照射水溶液溴酸盐吸收剂量二氧化碳高pH值消毒副产物含气饱和度

Asynchronous Observer Design for Switched Linear Systems: A Tube-Based Approach

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IEEE/CAA Journal of Automatica Sinica 2020年第1期7卷 70-81页

作者： Minghao Han Ruixian Zhang Lixian Zhang ye zhao Wei Pan School of Astronautics Harbin Institute of TechnologyHarbin 150080China School of Mechanical Engineering Georgia Institute of TechnologyAtlanta GA 30332 USA Department of Cognitive Robotics Delft University of TechnologyDelft 2628 CDNetherlands

This paper proposes a tube-based method for the asynchronous observation problem of discrete-time switched linear systems in the presence of amplitude-bounded *** stability conditions of the nominal observer error system under mode-dependent persistent dwell-time(MPDT)switching are first established. Taking the disturbances into account, a novel asynchronous MPDT robust positive invariant(RPI) set and an asynchronous MPDT generalized RPI(GRPI)set are determined for the difference system between the nominal and disturbed observer error systems. Further, the global uniform asymptotical stability of the observer error system is established in the sense of converging to the asynchronous MPDT GRPI set, i.e., the cross section of the tube of the observer error system. Finally, the proposed results are validated on a space robot manipulator example.

关键词： Asynchronous observer design generalized robust positive invariant(GRPI) set mode-dependent persistent dwell-time(MPDT) switched linear systems