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22nd Chinese Control and Decision Conference

作者： Zhang, Xin Zhang, Huaguang Luo, Yanhong Dong, Meng Northeastern Univ Shenyang 110819 Peoples R China

ISBN: (纸本)9781424451821

A iteration algorithm is derived to solve the optimal strategies of continuous-time nonaffine nonlinear quadrati:: zero-sum game in this paper. The nonaffine nonlinear quadratic zero-sum game is transformed into an equivalent sequence of linear quadratic zero-sum games. The associated Hamiltion-Jacobi-Isaacs (HJI) equation is transformed into a sequence of algebraic Riccati equations. The optimal strategies of the zero-sum game are obtained by iteration. The convergence of the iteration algorithm is proved under very mild conditions of local Lipschitz continuity. Finally, this approach is applied to a numerical example to demonstrate its convergence and effectiveness.

关键词： Zero-sum game Nonaffine nonlinear iteration algorithm HJI equation

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Calculation of Mass Concrete Temperature Containing Cooling Water Pipe Based on Substructure and iteration algorithm

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Computer Modeling in Engineering & Sciences 2024年第1期138卷 813-826页

作者： Heng Zhang Chao Su Zhizhong Song Zhenzhong Shen Huiguang Lei Changjiang Institute of Survey PlanningDesign and ResearchWuhan430010China College ofWater Conservancy and Hydropower Engineering Hohai UniversityNanjing210098China Chief Engineer Office Wujiang Company of Goupitan Power Construction CooperationYuqing564408China

Mathematical physics equations are often utilized to describe physical phenomena in various fields of science and *** such equation is the Fourier equation,which is a commonly used and effective method for evaluating the effectiveness of temperature control measures for mass *** important measure for temperature control in mass concrete is the use of cooling water ***,the mismatch of grids between large-scale concrete models and small-scale cooling pipe models can result in a significant waste of calculation time when using the finite element ***,the temperature of the water in the cooling pipe needs to be iteratively calculated during the thermal transfer *** substructure method can effectively solve this problem,and it has been validated by *** Abaqus/Python secondary development technology provides engineers with enough flexibility to combine the substructure method with an iteration algorithm,which enables the creation of a parametric modeling calculation for cooling water *** paper proposes such a method,which involves iterating the water pipe boundary and establishing the water pipe unit substructure to numerically simulate the concrete temperature field that contains a cooling water *** verify the feasibility and accuracy of the proposed method,two classic numerical examples were *** results showed that this method has good applicability in cooling pipe *** the value of the iteration parameterαis 0.4,the boundary temperature of the cooling water pipes can meet the accuracy requirements after 4∼5 iterations,effectively improving the computational ***,this approach provides a useful tool for engineers to analyze the temperature control measures accurately and efficiently for mass concrete,such as cooling water pipes,using Abaqus/Python secondary development.

关键词： Fourier equation cooling water pipe mass concrete iteration algorithm

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Vehicle simulation program: a tool to evaluate hybrid power management strategies based on an innovative iteration algorithm

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART D-JOURNAL OF AUTOMOBILE ENGINEERING 2001年第D9期215卷 1043-1052页

作者： Van Mierlo, J Maggetto, G Free Univ Brussels ETEC TW B-1050 Brussels Belgium

In the framework of a PhD research programme [1] a vehicle simulation program is developed. It is a modular user-friendly interactive programme that allows the simulation of the behaviour of electric (battery, hybrid and fuel cell) as well as internal combustion (petrol, diesel, CNG, etc.) vehicles. The goal of the simulation program is to study power flows in drivetrains and corresponding component losses as well as to compare different drivetrain topologies. This comparison can be realized at the level of consumption (fuel and electricity) and emissions (CO2, HC, NOx, CO, particles, etc.) as well as at the level of performance (acceleration, range, maximum slope). The main modelling aspects and research 'trigger points', including its innovative iteration algorithm, will be highlighted in this paper.

关键词： simulation program iteration algorithm electric vehicle hybrid vehicle power management energy consumption emissions

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A phase error compensation method for three-dimensional shape measurement using improved iteration algorithm

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JOURNAL OF MODERN OPTICS 2023年第8期70卷 457-469页

作者： Meng, Xin Wang, Shifeng Zhang, Peng Qian, Feng Ma, Jun Meng, Jin Du, Kaiyue Lu, Bo Song, Shigeng Changchun Univ Sci & Technol Sch Optoelect Engn Changchun 130022 Peoples R China Changchun Univ Sci & Technol Zhongshan Inst Zhongshan Peoples R China Univ West Scotland Sch Comp Engn & Phys Sci Glasgow Renfrow Scotland

The binary defocusing has been extensively studied in the three-dimensional measurement. But if the projector is slightly defocused, the binary fringes after defocusing still contain high-order harmonics compared with the ideal sinusoidal fringes, so the phase error caused by the nonlinear response is not negligible. In this paper, two models are proposed to calculate and compensate phase error, which include a double-precision iterative compensation model (DPICM) and a dual-domain iterative compensation model (DDICM). These two models obtain accurate phase errors by fusing the phases at different precision and domains. DPICM is composed of the double precision method and the improved iterative algorithm, and DDICM consists of the dual-domain method and the improved iterative algorithm. This improved iterative algorithm is used to compensate phase error, which can improve phase accuracy. DPICM and DDICM reduce the RMS error by 25.5% and 13.5% respectively.

关键词： Three-dimensional shape measurement phase error compensation iteration algorithm phase shifting profilometry

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Estimation of tire-road friction coefficient based on combined APF-IEKF and iteration algorithm

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MECHANICAL SYSTEMS AND SIGNAL PROCESSING 2017年 88卷 25-35页

作者： Liu, Y. -H. Li, T. Yang, Y. -Y. Ji, X. -W. Wu, J. Tsinghua Univ State Key Lab Automot Safety & Energy Beijing 100084 Peoples R China China Univ Geosci Sch Engn & Technol Beijing 100083 Peoples R China

Tire-road friction coefficient is an important parameter for vehicle stability and active safety systems. However, precise measurement of tire-road friction coefficient is hard to achieve without expensive equipment. Considering easy availability and good economy, this paper proposes a method which first combines auxiliary particle filter and the iterated extended kalman filter (APF-IEKF), and then processes the results of the first step using iteration algorithm. APF-IEKF is used to estimate the slip angle of the front tires with strong nonlinearity and non-Gaussian noise, in which APF filters non-Gaussian noise and reach a preliminary estimation of sideslip angle, then IEKF is used to optimize the result, making the estimation of the sideslip angle more accurate. The iteration algorithm is used to estimate the tire-road friction coefficient based on self-aligning torque, which is more sensitive to tire slip angle and provides faster estimation. In this way, this method can estimate tire road friction coefficient more accurately and in real time. Both numerical simulation in Carsim/Simulink and actual off-vehicle tests in winter are provided to demonstrate the efficiency of the proposed algorithm. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Tire-road friction coefficient Self-aligning torque APF-IEKF iteration algorithm

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A Reliable iteration algorithm for One-Bit Compressive Sensing on the Unit Sphere

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Acta Mathematicae Applicatae Sinica 2024年第3期40卷 801-822页

作者： Yan-cheng LU Ning BI An-hua WAN School of Mathematics Sun Yat-sen UniversityGuangzhou 510275China

The one-bit compressed sensing problem is of fundamental importance in many areas,such as wireless communication,statistics,and so ***,the optimization of one-bit problem coustrained on the unit sphere lacks an algorithm with rigorous mathematical proof of convergence and *** this paper,an iteration algorithm is established based on difference-of-convex algorithm for the one-bit compressed sensing problem constrained on the unit sphere,with iterating formula■,where C is the convex cone generated by the one-bit measurements andη_(1)>η_(2)>1/*** new algorithm is proved to converge as long as the initial point is on the unit sphere and accords with the measurements,and the convergence to the global minimum point of the l_(1)norm is discussed.

关键词： one-bit compressed sensing difference of convex algorithm iteration algorithm ■1-minimization

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Exploring the velocity distribution of debris flows: An iteration algorithm based approach for complex cross-sections

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GEOMORPHOLOGY 2015年 241卷 72-82页

作者： Han, Zheng Chen, Guangqi Li, Yange Wang, Wei Zhang, Hong Kyushu Univ Dept Civil & Struct Engn Nishi Ku Fukuoka 8190395 Japan Cent South Univ Sch Civil Engn Changsha 410075 Hunan Peoples R China Chengdu Univ Technol State Key Lab Geohazard Prevent & Geoenvironm Pro Chengdu 610000 Peoples R China

The estimation of debris-flow velocity in a cross-section is of primary importance due to its correlation to impact force, run up and superelevation. However, previous methods sometimes neglect the observed asymmetric velocity distribution, and consequently underestimate the debris-flow velocity. This paper presents a new approach for exploring the debris-flow velocity distribution in a cross-section. The presented approach uses an iteration algorithm based on the Riemann integral method to search an approximate solution to the unknown flow surface. The established laws for vertical velocity profile are compared and subsequently integrated to analyze the velocity distribution in the cross-section. The major benefit of the presented approach is that natural channels typically with irregular beds and superelevations can be taken into account, and the resulting approximation by the approach well replicates the direct integral solution. The approach is programmed in MATLAB environment, and the code is open to the public. A well-documented debris-flow event in Sichuan Province, China, is used to demonstrate the presented approach. Results show that the solutions of the flow surface and the mean velocity well reproduce the investigated results. Discussion regarding the model sensitivity and the source of errors concludes the paper. (C) 2015 Elsevier B.V. All rights reserved.

关键词： Debris flow Velocity distribution Integral solution iteration algorithm

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FAST iteration algorithm FOR INTEGRAL EQUATIONS OF THE FIRST KIND ARISING IN 2D DIFFRACTION BY SOFT OBSTACLES

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JOURNAL OF COMPUTATIONAL ACOUSTICS 2013年第3期21卷 1350007-1350016页

作者： Scalia, A. Popuzin, V. Pennisi, M. Univ Catania DMI I-95125 Catania CT Italy

We propose a new iteration numerical algorithm to solve boundary integral equations of the first kind arising in the 2D scattering by soft obstacles. The main idea is to operate on each iteration step with an integral equation, which has a convolution kernel, by changing the full kernel with a special averaging procedure. The practical convergence of the algorithm is demonstrated by some examples for three different geometries. If M is the number of iterations then the computational cost of the algorithm is MN log(N).

关键词： Diffraction boundary integral equation iteration algorithm circulant matrix fast method

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AN iteration algorithm OF SOLVING THE PROBLEM OF A DIE OF ARBITRARY FORM TAKING FRICTION INTO ACCOUNT

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STRENGTH OF MATERIALS 1984年第7期16卷 1040-1045页

作者： RUMYANTSEV, AA

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A Novel Control iteration algorithm for a Class of Nonlinear Chaotic Systems with State Delay

A Novel Control Iteration Algorithm for a Class of Nonlinear...

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5th International Conference on Machine Vision (ICMV) - algorithms, Pattern Recognition and Basic Technologies

作者： Liu, Bing MCC Capital Engn & Res Inc Ltd Beijing 100176 Peoples R China

ISBN: (纸本)9780819495884

This paper presents a general control iteration algorithm for a class of chaotic systems. The algorithm contains two iterations, which are performance index function iteration and the corresponding control iteration. In order to prove theoretically, two theorems are proposed, which demonstrates the iteration algorithm is convergent. At last, an example is given to show the effectiveness of the proposed algorithm.

关键词： iteration algorithm nonlinear systems delay neural networks

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