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Resolving the problem of multiple control parameters in optimized Borel-type summation

JOURNAL OF MATHEMATICAL CHEMISTRY 2025年第1期63卷 181-209页

作者： Yukalov, V. I. Gluzman, S. Joint Inst Nucl Res Bogolubov Lab Theoret Phys Dubna 141980 Russia Univ Sao Paulo Inst Fis Sao Carlos CP 369 BR-13560970 Sao Carlos SP Brazil Mat Res Grp Bathurst St 3000 Apt 606 Toronto ON M6B 3B4 Canada

One of the most often used methods of summing divergent series in physics is the Borel-type summation with control parameters improving convergence, which are defined by some optimization conditions. The well known annoying problem in this procedure is the occurrence of multiple solutions for control parameters. We suggest a method for resolving this problem, based on the minimization of cost functional. control parameters can be introduced by employing the Borel-Leroy or Mittag-Leffler transforms. Also, two novel transformations are proposed using fractional integrals and fractional derivatives. New cost functionals are advanced, based on lasso and ridge selection criteria, and their performance is studied for a number of models. The developed method is shown to provide good accuracy for the calculated quantities.

关键词： Fractional Borel summation Optimization conditions control parameters Self-similar approximants

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control parameters for high-intensity focused ultrasound (HIFU) for tissue ablation in the ex-vivo kidney

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AKTUELLE UROLOGIE 2002年第1期33卷 58-63页

作者： Köhrmann, KU Michel, MS Steidler, A Marlinghaus, EH Kraut, O Alken, P Klinikum Mannheim GmbH Urol Univ Klin D-68135 Mannheim Germany

Purpose: Therapeutic application of contactless thermoablation by high-intensity focused ultrasound (HIFU) demands precise physical definition of focal size and determination of control parameters. Our objective was to define the focal expansion of a new ultrasound generator and to evaluate the extent of tissue ablation under variable generator parameters in an ex vivo modell. Materials and Methods: Axial and transversal distribution of ultrasound intensity in the area of the focal point was calculated by needle hydrophone. The extent of tissue necrosis after focused ultrasound was assessed in an ex vivo porcine kidney model applying generator power up to 400 Watt and pulse duration up to 8 s. Results: The measurement of field distribution revealed a physical focal size of 32 x 4 mm. Sharp demarcation between coagulation necrosis and intact tissue was observed in our tissue model. Lesion size was kept under control by variation of both generator power and impulse duration. At a constant impulse duration of 2 s, generator power of 100 W remained below the threshold dosis for induction of a reproducible lesion. An increase in power up to 200 W and 400 W, respectively, induced lesions with diameters up to 11.2 x 3 mm. Constant total energy (generator power x impulse duration) led to a larger lesion size under higher generator power. Conclusion: It is possible to induce sharply demarcated, reproducible thermonecrosis, which can be regulated by generator power and impulse duration, by means of a cylindrical piezo element with a paraboloid reflector at a focal distance of 10 cm. The variation of generator power was an especially suitable control parameter for the inducement of a defined lesion size.

关键词： ultrasonic therapy thermocoagulation experimental model HIFU control parameters

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control parameters and mutation based variants of differential evolution algorithm

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JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2015年第4期15卷 783-800页

作者： Pooja Chaturvedi, Praveena Kumar, Pravesh Gurukula Kangri Vishwavidyalaya Dept Comp Sci Haridwar India AMITY Univ Dept Math Gurgaon India

Differential Evolution (DE) is considered as a simple yet influential search engine used for optimization of realvalued, multimodal and nonlinear functions. Here two new variants of the parent DE are presented with self-tuned control parameters and a modified mutation scheme. The First variant, designed by applying self-adaptive control parameters to the parent DE, is named as CPDE and the second one, the enhanced version of CPDE in which CPDE is embedded with a modified mutation scheme, is named as CPMDE. The crucial role of the self-adaptive control parameters can't be abandoned, which is used to improve the quality of the solution. The next application of self-adapted control parameters is drawn with a modified mutation operation in which the whole search space is divided into three equal parts for the sake of maximum exploration of the search space. A set of 14 traditional and 12 non-traditional (6 shifted and 6 hybrid) test problems is chosen for validation of the performance of the proposed algorithms which is then compared with the parent DE and some other variants of DE in terms of number of function evaluations, CPU time, error and standard deviation. Numerical and statistical results show that the proposed algorithm helps in providing a better trade-off between convergence rate and efficiency.

关键词： Differential evolution control parameters mutation global optimization

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control parameters Optimization Based on Co-Simulation of a Mechatronic System for an UA-Based Two-Axis Inertially Stabilized Platform

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SENSORS 2015年第8期15卷 20169-20192页

作者： Zhou, Xiangyang Zhao, Beilei Gong, Guohao Beihang Univ BUAA Sch Instrumentat Sci & Optoelect Engn Beijing 100191 Peoples R China Beijing Aerosp Era Laser Nav Technol Co Ltd Beijing 100094 Peoples R China

This paper presents a method based on co-simulation of a mechatronic system to optimize the control parameters of a two-axis inertially stabilized platform system (ISP) applied in an unmanned airship (UA), by which high control performance and reliability of the ISP system are achieved. First, a three-dimensional structural model of the ISP is built by using the three-dimensional parametric CAD software SOLIDWORKS (R);then, to analyze the system's kinematic and dynamic characteristics under operating conditions, dynamics modeling is conducted by using the multi-body dynamics software ADAMS, thus the main dynamic parameters such as displacement, velocity, acceleration and reaction curve are obtained, respectively, through simulation analysis. Then, those dynamic parameters were input into the established MATLAB((R)) SIMULINK (R) controller to simulate and test the performance of the control system. By these means, the ISP control parameters are optimized. To verify the methods, experiments were carried out by applying the optimized parameters to the control system of a two-axis ISP. The results show that the co-simulation by using virtual prototyping (VP) is effective to obtain optimized ISP control parameters, eventually leading to high ISP control performance.

关键词： unmanned airship two-axis inertially stabilized platform mechatronic system co-simulation virtual prototyping control parameters

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control parameters in Boolean networks and cellular automata revisited from a logical and a sociological point of view

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Complexity 1999年第1期5卷 45-52页

作者： Klüver, Jürgen Schmidt, Jörn Universität Gesamthochschule Essen Hochschuldidaktisches Zentrum University of Essen Interdisciplinary Center of Research in Higher Education Essen 45117 Universitätsstrasse 12 Germany

The use of “control parameters” as applied to describe the dynamics of complex mathematical systems within models of real social systems is discussed. Whereas single control parameters cannot sufficiently characterize the dynamics of such systems it is suggested that domains of values of certain sets of parameters are appropriately denoting necessary conditions for highly disordered dynamics of social systems. Various of those control parameters permit a straightforward interpretation in terms of properties of social rules and structures. © 1999 John Wiley & Sons, Inc.

关键词： Boolean networks Cellular automata control parameters Social dynamics Social simulation

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Optimization of control parameters for petroleum waste composting

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Journal of Environmental Sciences 2001年第4期13卷 385-390页

作者： MA Ying ZHANG Jia yao WONG Ming Hung WU Wen zhong Department of Biology and Institute for Natural Resource and Waste Management Hong Kong Baptist UniversityKowloon TongHong KongChina Department of Environmental Science Wuhan UniversityWuhan 430072China State Key Laboratory for Freshwater Ecology and Biotechnology Institute of HydrobiologyChinese Academy of SciencesWuhan 430072China

Composting is being widely employed in the treatment of petroleum waste. The purpose of this study was to find the optimum control parameters for petroleum waste in-vessel composting. Various physical and chemical parameters were monitored to evaluate their influence on the microbial communities present in composting. The CO2 evolution and the number of microorganisms were measured as the activity of composting. The results demonstrated that the optimum temperature, pH and moisture content were 56.5 - 59.5 degreesC, 7.0 - 8.5 and 55 % - 60%, respectively. Under the optimum conditions, the removal efficiency of petroleum hydrocarbon reached 83.29% after 30 days composting.

关键词： optimization control parameters petroleum waste composting

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control parameters auto-tuning for bi-axial servo feed system

Control parameters auto-tuning for bi-axial servo feed syste...

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47th CIRP Conference on Manufacturing Systems

作者： Feng, B. Zhang, D. Yang, J. Ren, C. Xi An Jiao Tong Univ Xian 710049 Peoples R China

To improve contour accuracy of bi-axial servo feed system and aim at the problem that conventional methods for tuning control parameters mainly depend on manual tuning and can hardly achieve desired performances. A novel method based on the improved genetic algorithm is proposed to tune control parameters on line, and to realize the dynamics optimal matching between motion axes. The adaptive crossover operation, adaptive mutation operation and elitism strategy are adopted to overcome the prematurity of population and to improve convergence rate effectively. The experimental results show that follow error and contour error are both reduced greatly. (C) 2014 Elsevier B.V.

关键词： Bi-axial servo feed system control parameters Auto-tuning Matching Contour accuracy

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Integrated Optimization of Structure and control parameters for the Height control System of a Vertical Spindle Cotton Picker

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Chinese Journal of Mechanical Engineering 2021年第6期34卷 405-416页

作者： Xingzheng Chen Congbo Li Rui Hu Ning Liu Chi Zhang College of Engineering and Technology Southwest UniversityChongqing400715China State Key Laboratory of Mechanical Transmission Chongqing UniversityChongqing400044China Department of Mechanical Engineering National University of SingaporeSingapore119077Singapore

Vertical picking method is a predominate method used to harvest cotton ***,a vertical picking method may cause spindle bending of the cotton picker if spindles collide with stones on the cotton ***,how to realize a precise height control of the cotton picker is a crucial issue to be *** objective of this study is to design a height control system to avoid the *** design it,the mathematical models are established *** a multi-objective optimization model represented by structure parameters and control parameters is proposed to take the pressure of chamber without piston,response time and displacement error of the height control system as the opti-mization *** integrated optimization approach that combines optimization via simulation,particle swarm optimization and simulated annealing is proposed to solve the *** and experimental test results show that the proposed integrated optimization approach can not only reduce the pressure of chamber without piston,but also decrease the response time and displacement error of the height control system.

关键词： Cotton picker Height control system Structure parameters control parameters Integrated optimization

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control parameters Self-Adaptation in Differential Evolution based on Intrisic Structure Information

Control Parameters Self-Adaptation in Differential Evolution...

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IEEE Congress on Evolutionary Computation (CEC)

作者： Shang, Zhigang Li, Zhihui Liang, J. J. Niu, Ben Zhengzhou Univ Sch Elect Engn Zhengzhou Peoples R China

ISBN: (纸本)9781467315098

In this paper, A self-adaptive strategy to determine the control parameters of Differential Evolution (DE) is proposed based on the elaborate analysis of intrinsic structure. The projection information of fitness function in differential direction is used to get the scale factor, while the difference between the local distance and global search range is applied to determine the crossover rate. This approach named as ITDE is tested by the benchmark functions including unconstrained uni-Modal, multi-Modal and bound-constrained ones, and the test results indicate the ITDE has good performance to balance the explorative and exploitative capability of algorithm than standard DE and easy to be implemented widely with many variants of DE algorithm.

关键词： Differential Evolution control parameters self-adaptive intrinsic structure unconstrained optimization

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THE MECHANISM OF THE BACTERIAL OXIDATION OF ARSENOPYRITE-PYRITE MIXTURES - THE IDENTIFICATION OF PLANT control parameters

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MINERALS ENGINEERING 1993年第8-10期6卷 969-975页

作者： BARRETT, J HUGHES, MN UNIV LONDON KINGS COLL DEPT CHEM LONDON WC2R 2LS ENGLAND

Previous conclusions concerning the mechanisms of the bacterially catalysed oxidation of pyrite and arsenopyrite are reviewed. Further available experimental evidence is described and interpreted to give a more detailed mechanism for the reactions. The mechanistic conclusions are used to identify the parameters which are important in the control of the plant operation of the processing of gold-bearing refractory pyrite/arsenopyrite minerals. These parameters are the concentrations of iron(II) and (III), arsenic(III) and (V), and the values of pH, electrode potential, pulp density and the bacterial population.

关键词： BACTERIAL OXIDATION PYRITE ARSENOPYRITE MECHANISM control parameters

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