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Feasibility of Using Optimal Control Theory and Training-Performance Model to Design Optimal Training Programs for Athletes
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作者 Yi Yang che-yu lin 《Computer Modeling in Engineering & Sciences》 2025年第6期2767-2783,共17页
In order to help athletes optimize their performances in competitions while prevent overtraining and the risk of overuse injuries,it is important to develop science-based strategies for optimally designing training pr... In order to help athletes optimize their performances in competitions while prevent overtraining and the risk of overuse injuries,it is important to develop science-based strategies for optimally designing training programs.The purpose of the present study is to develop a novel method by the combined use of optimal control theory and a training-performance model for designing optimal training programs,with the hope of helping athletes achieve the best performance exactly on the competition day while properly manage training load during the training course for preventing overtraining.The training-performance model used in the proposed optimal control framework is a conceptual extension of the Banister impulse-response model that describes the dynamics of performance,training load(served as the control variable),fitness(the overall positive effects on performance),and fatigue(the overall negative effects on performance).The objective functional of the proposed optimal control framework is to maximize the fitness and minimize the fatigue on the competition day with the goal of maximizing the performance on the competition day while minimizing the cumulative training load during the training course.The Forward-Backward Sweep Method is used to solve the proposed optimal control framework to obtain the optimal solutions of performance,training load,fitness,and fatigue.The simulation results show that the performance on the competition day is higher while the cumulative training load during the training course is lower with using optimal control theory than those without,successfully showing the feasibility and benefits of using the proposed optimal control framework to design optimal training programs for helping athletes achieve the best performance exactly on the competition day while properly manage training load during the training course for preventing overtraining.The present feasibility study lays the foundation of the combined use of optimal control theory and training-performance models to design personalized optimal training programs in real applications in athletic training and sports science for helping athletes achieve the best performances in competitions while prevent overtraining and the risk of overuse injuries. 展开更多
关键词 Banister impulse-response model athletic training and performance coaching education physical fitness sports science computational and mathematical modeling
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Identification of Grown-In Defects in CZ Silicon after Cu Decoration
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作者 Kun-lin lin Yi-ling Jian +3 位作者 che-yu lin Chien-Cheng lin Yih-Rong Luo Chien-Chia Tseng 《Microscopy Research》 2017年第2期11-19,共9页
Bulk Czochralski silicon crystals were decorated with Cu and characterized by transmission electron microscopy (TEM) with energy-dispersive spectroscopy (EDS), atomic force microscopy (AFM), optical microscopy (OM), s... Bulk Czochralski silicon crystals were decorated with Cu and characterized by transmission electron microscopy (TEM) with energy-dispersive spectroscopy (EDS), atomic force microscopy (AFM), optical microscopy (OM), scanning electron microscopy (SEM), and photoluminescence spectroscopy (PL). The vacancy-type core, oxidation-induced stacking faults (OISF) ring, nearly defect-free ring, and self-interstitial-type rich outer ring were delineated in the Si crystal wafer. At the surface of the Si crystal, vertical-horizontal line (V-H line) defects and windmill defects (W-defects) were formed instead of OISF. The families of growth planes and directions were expressed as {011} and for the V-H line and {010} and for W-defects, respectively. In addition to V-H line defects and W-defects, pits or voids and Si oxide with dissolved Cu were found in the Si crystal wafer. 展开更多
关键词 CZ Silicon CU DECORATION MICROSTRUCTURES DEFECTS Transmission Electron Mi-croscopy
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