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Soliton Solutions for Nonisospectral BKP Equation

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Communications in Theoretical Physics 2008年第3期49卷 535-539页

作者： deng Shu-fang Department of Mathematics East China University of Science and Technology Shanghai 200237 China

The soliton solutions for the nonisospeetral BKP equation are derived through Hirota method and Pfaffian technique. We also derive the bilinear Baeklund transformations for the isospectral and nonisospeetral BKP equat... 详细信息

关键词： nonisospectral BKP equation Hirota method Pfaffian technique Backlund transformation

A differential game for cooperative target defense with two slow defenders

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Science China(Information Sciences) 2020年第12期63卷 269-271页

作者： Li LIANG fang deng School of Automation Beijing Institute of Technology School of Information Engineering Inner Mongolia University of Science and Technology

Dear editor,Active defense is an effective way to improve battlefield survivability [1]. In the actual battlefield environment, equipment with weaker survivability usually needs a friendly platform to protect it from attacks. For example, important assets need to be protected by armed defense forces in the course of transportation to prevent them from being seized and destroyed by enemy forces.

关键词： Pursuit-evasion game Active defense Target-Attacker-Defender game Barrier Cooperate policy

MULTI-MODE OF VORTEX-INDUCED VIBRATION OF A FLEXIBLE CIRCULAR CYLINDER

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Journal of Hydrodynamics 2011年第4期23卷 483-490页

作者： XIE fang-fang deng Jian ZHENG Yao School of Aeronautics and Astronautics Zhejiang University Hangzhou 310027 China

The vortex-induced vibration of a flexible circular cylinder is investigated at a constant Reynolds number of 1000. The finite-volume method on moving meshes is applied for the fluid flow, and the Euler-Bernoulli beam theory is used to model the dynamic response of a flexible cylinder. The relationship between the reduced velocity and the amplitude response agrees well with the experimental results. Moreover, five different vibrating modes appear in the simulation. From the comparisons of their vortex structures, the strength of the wake flow is related to the exciting vibrating mode and different vortex patterns arise for different vibrating modes. Only 2P pattern appears in the first vibrating mode while 2S-2P patterns occur in the other vibrating modes if monitoring at different sections along the length of the cylinder. The vibration of the flexible cylinder can also greatly alter the three-dimensionality in the wake, which needs further studies in our future work, especially in the transition region for the Reynolds number from 170 to 300.

关键词： multi-mode Vortex-Induced Vibration (VIV) three-dimensional instability flexible cylinders Euler-Bemoulli beam

Adaptive unscented Kalman filter for parameter and state estimation of nonlinear high-speed objects

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Journal of Systems Engineering and Electronics 2013年第4期24卷 655-665页

作者： fang deng Jie Chen Chen Chen School of Automation Beijing Institute of Technology Key Laboratory of Intelligent Control and Decision of Complex Systems

An adaptive unscented Kalman filter （AUKF） and an augmented state method are employed to estimate the timevarying parameters and states of a kind of nonlinear high-speed objects. A strong tracking filter is employed to improve the tracking ability and robustness of unscented Kalman filter （UKF） when the process noise is inaccuracy, and wavelet transform is used to improve the estimate accuracy by the variance of measurement noise. An augmented square-root framework is utilized to improve the numerical stability and accuracy of UKF. Monte Carlo simulations and applications in the rapid trajectory estimation of hypersonic artillery shells confirm the effectiveness of the proposed method.

关键词： parameter estimation state estimation unscented Kalman filter (UKF) strong tracking filter wavelet transform.

Isogeometric Analysis on Implicit Domains:Approximation,Stability and Error Estimates

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Communications in Mathematics and Statistics 2024年第4期12卷 633-658页

作者： fang deng Tianhui Yang Jingjing Liu Jiansong deng School of Mathematics and Statistics North China University of Water Resources and Electric PowerZhengzhou 450045People’s Republic of China Department of Mathematics Harbin Institute of Technology WeihaiWeihai 264209People’s Republic of China School of Mathematics and Statistics Hefei Normal UniversityHefei 230061People’s Republic of China School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026People’s Republic of China

The gap between finite element analysis and computer-aided design derives the development of isogeometric analysis(IGA),which uses the same representation in the geometry and the ***,the parameterization in IGA is *** extended B-splines(WEB)method replaces grid generation and parameterization with weight function construction(R-function or distance function).By using implicit spline representation,isogeometric analysis on implicit domains(IGAID)adopts the merits of the“isoparametric”in IGA and“weight function generation”in *** the theoretical properties have not been fully studied *** this paper,we study the theoretical aspects of IGAID using tensor-product *** the approximation and stability properties of IGAID are *** setting appropriate constraints on the weight function,we can derive the optimal approximation order and *** examples show the effectiveness of the approach and validate the theoretical results.

关键词： Isogeometric analysis WEB method Implicit domain Weight function Error estimates

BASES OF BIQUADRATIC POLYNOMIAL SPLINE SPACES OVER HIERARCHICAL T-MESHES

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Journal of Computational Mathematics 2017年第1期35卷 91-120页

作者： fang deng Chao Zeng Meng Wu Jiansong deng School of Mathematical Sciences University of Science and Technology of China Hefei China School of Mathematics Hefei University of Technology Hefei China

Basis functions of biquadratic polynomial spline spaces over hierarchical T-meshes are constructed. The basis functions are all tensor-product B-splines, which are linearly independent, nonnegative and complete. To make basis functions more efficient for geometric modeling, we also give out a new basis with the property of unit partition. Two preliminary applications are given to demonstrate that the new basis is efficient.

关键词： Spline spaces over T-meshes CVR graph Basis functions.

Graphic Sequences with a Realization Containing Intersecting Cliques

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Acta Mathematica Sinica,English Series 2012年第2期28卷 405-416页

作者： Jian Hua YIN Yan fang deng Department of Mathematics College of Information Science and Technology Hainan University

Let r ≥1, k ≥ 2 and Fm1,… k;r denote the most general definition of a friendship graph,

关键词： Degree sequence potentially P-graphic sequence

Blocked WDD-FNN and applications in optical encoder error compensation

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Science China(Information Sciences) 2020年第7期63卷 242-244页

作者： fang deng Jiachen ZHAO Yeyun CAI School of Automation Beijing Institute of Technology

Dear editor,Optical encoder is a kind of angle sensor, which has been applied in a variety of domains such as astronomy, vehicles and industrial production. However, there always exist errors between the measured angles and the real angles, reducing the performance and safety of systems. These measurement errors may raise from various sources, like

关键词： optical encoder distributed computing sensor error compensation weight direct determination Fourier neural network

Adaptive Observer Based Backstepping Controller Design for Dynamic Ship Positioning

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China Ocean Engineering 2017年第5期31卷 639-645页

作者： deng fang WANG Long-jin JIAO Dong-mei College of Mechanical & Electrical Engineering Qingdao University of Science & Technology

Modified adaptive observer based backstepping control system for dynamic positioning of ship is proposed. As an improvement, the adaptive observer takes the first-order wave frequency model and the bias term which represent the slowly varying environmental disturbances and the unmodeled dynamics. Thus, the wave-frequency motions are filtered out, and only the reconstructed low-frequency motions are sent as inputs of the controller. Furthermore, as the ship dynamics parameters are unknown, the adaptive estimation law is designed for both the unknown ship dynamics and the unmeasured state variables. Based on the estimated states and parameters, backstepping controller considering the integral action is designed. Global exponential stability （GES） for the total system is proved using Lyapunov direct method. Simulation results show a good performance of the observer and control system.

关键词： Dynamic positioning backstepping control adaptive observer parameter estimation