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非线性电动力学黑洞的复杂度 被引量:1
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作者 李莉 丁郁琛 王焘 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2019年第2期116-121,共6页
在Einstein引力与非线性电动力学耦合的理论中,会出现一类双视界的黑洞解,称为非线性电动力学黑洞.针对这种理论,从一般形式的作用量和球对称度规出发,计算了带电黑洞的电势以及Wheeler-DeWitt片的作用量,证明了该作用量等于内外视界上... 在Einstein引力与非线性电动力学耦合的理论中,会出现一类双视界的黑洞解,称为非线性电动力学黑洞.针对这种理论,从一般形式的作用量和球对称度规出发,计算了带电黑洞的电势以及Wheeler-DeWitt片的作用量,证明了该作用量等于内外视界上的电势差与电荷的乘积.采用Susskind等人最近提出的复杂度/作用量对偶猜想,该作用量可以解释为Anti-de Sitter边界上的量子态的计算复杂度.在Reissner-Nordstrom黑洞和Born-Infeld黑洞两种特殊情况下,利用本文得到的一般结果与文献中已有的结果完全符合. 展开更多
关键词 规范/引力对偶 黑洞 非线性电动力学
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Bandos-Lechner-Sorokin-Townsend电动力学中的黑体辐射
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作者 施洋 王焘 《华东师范大学学报(自然科学版)》 北大核心 2025年第3期13-18,共6页
Bandos-Lechner-Sorokin-Townsend电动力学是麦克斯韦电动力学的一个双参数拓展,它统一了Born-Infeld电动力学和ModMax电动力学,并满足电磁对偶.在这个新的电动力学理论中,研究了强磁背景场中电磁波的色散关系,并以此为基础计算了光子... Bandos-Lechner-Sorokin-Townsend电动力学是麦克斯韦电动力学的一个双参数拓展,它统一了Born-Infeld电动力学和ModMax电动力学,并满足电磁对偶.在这个新的电动力学理论中,研究了强磁背景场中电磁波的色散关系,并以此为基础计算了光子气的热力学量,如内能密度、压强等,得到了黑体辐射谱的修正,特别是对Stefan-Boltzmann定律的修正.由于色散关系对背景磁场方向的依赖,黑体辐射功率是面元方向和背景磁场方向夹角的函数. 展开更多
关键词 非线性电动力学 力学 黑体辐射
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Support vector machine based nonlinear model multi-step-ahead optimizing predictive control 被引量:9
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作者 钟伟民 皮道映 孙优贤 《Journal of Central South University of Technology》 EI 2005年第5期591-595,共5页
A support vector machine with guadratic polynomial kernel function based nonlinear model multi-step-ahead optimizing predictive controller was presented. A support vector machine based predictive model was established... A support vector machine with guadratic polynomial kernel function based nonlinear model multi-step-ahead optimizing predictive controller was presented. A support vector machine based predictive model was established by black-box identification. And a quadratic objective function with receding horizon was selected to obtain the controller output. By solving a nonlinear optimization problem with equality constraint of model output and boundary constraint of controller output using Nelder-Mead simplex direct search method, a sub-optimal control law was achieved in feature space. The effect of the controller was demonstrated on a recognized benchmark problem and a continuous-stirred tank reactor. The simulation results show that the multi-step-ahead predictive controller can be well applied to nonlinear system, with better performance in following reference trajectory and disturbance-rejection. 展开更多
关键词 nonlinear model predictive control support vector machine nonlinear system identification kernel function nonlinear optimization
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Improved control of intelligent excavator using proportional-integral-plus gain scheduling 被引量:5
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作者 顾军 D. SEWARD 《Journal of Central South University》 SCIE EI CAS 2012年第2期384-392,共9页
Consider the design and implementation of an electro-hydraulic control system for a robotic excavator, namely the Lancaster University computerized and intelligent excavator (LUCIE). The excavator was developed to aut... Consider the design and implementation of an electro-hydraulic control system for a robotic excavator, namely the Lancaster University computerized and intelligent excavator (LUCIE). The excavator was developed to autonomously dig trenches without human intervention. One stumbling block is the achievement of adequate, accurate, quick and smooth movement under automatic control, which is difficult for traditional control algorithm, e.g. PI/PID. A gain scheduling design, based on the true digital proportional-integral-plus (PIP) control methodology, was utilized to regulate the nonlinear joint dynamics. Simulation and initial field tests both demonstrated the feasibility and robustness of proposed technique to the uncertainties of parameters, time delay and load disturbances, with the excavator arm directed along specified trajectories in a smooth, fast and accurate manner. The tracking error magnitudes for oblique straight line and horizontal straight line are less than 20 mm and 50 mm, respectively, while the velocity reaches 9 m/min. 展开更多
关键词 robotic excavator gain scheduling control proportional-integral-plus ROBUSTNESS
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