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function
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  函数
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  “function”译为未确定词的双语例句
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  function
Simple modules over the multiparameter quantum function algebra at roots of 1
      
We construct essentially all the irreducible modules for the multiparameter quantum function algebraF?φ[G], whereG is a simple simply connected complex algebraic group, and ? is a root of unity.
      
Virasoro Algebra, Dedekind η-function and Specialized Macdonald Identities
      
We study Nekrasov's deformed partition function $Z(\varepsilon_1,\varepsilon_2,\vec{a};\mathfrak q,\boldsymbol\beta)$ of 5-dimensional supersymmetric
      
This is done by reducing the problem to the case of bipartite quivers of a special form and using a function DP on three matrices, which is a mixture of the determinant and two pfaffians.
      
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In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into...

In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into the given final region of states. Some conclusions are obtained from the maximum principle by using transversal conditions of optimal trajectories in terminal points, and the particular properties of the stated problem are pointed out. The case of linear dif-ferential equations with integral quadratic functional criterion is investigated in detail.Further, in the second part the fundamental properties of isoloss regions, the rela-tions between the isoloss region and optimal control functions are indicated. As a direct result a partial differential equation determining the optimal loss-function J (x) is found and the connection between function J (x)and optimal vector control function u (x) is also stated. The methods proposed are practically the extension of the me-thods used by us for designing time optimal control systems as seen in [5, 6 ,7].Finally, an example is illustrated with optimal trajectories shown in phase plane.The necessary numerical data is calculated by an analog computer with high accuracy.

文中研究了具有公式(3)表示的一般正积分泛函的最优控制系统的综合问题.在第一部分中研究了具有控制参数的一阶微分方程组.控制系统的终点状态为n维相空间内的某一逐段光滑边界的闭性区域Ω.文中指出了根据极大值原理和轨道终点的横截条件寻找引到Ω的所有最优轨迹的方法.这里详细地研究了具有二次泛函和被积函数中不明显含有控制参数的质量指标泛函的线性方程情况.在文中第二部分研究了等损耗区的主要特性.指出了等损耗区与最优控制函数之间的关系.导出了求算最优损耗函数J(x)的偏微分方程,以及这一函数与最优控制函数u(x)的关系.上述方法是我们曾在文献[5,6,7]中用过的最优快速系统的综合方法的推广.文章最后举有例证.

By using the function of Lyapunov, in this paper a formula is derived to estimate the decaying perturbation. Based on this formula the linear switching lines are obtained. The method is also applied to system with time lag.

在此短文中,借助于李雅普诺夫函数,对扰动量作了定量估计,以给出使用线性开关函数的某种依据.文中还将此法用于常系数线性时滞系统.

An analytical design method for multivariable linear control systems is proposed.The difference between the expected transfer function and the real transfer function ofa given system is considered as a pseudo internal feedback. The feedback controller isthen introduced to compensate the bad effects of this internal feedback. The effectiveness of this method has been demonstrated in the design of the feedsystem of a heayy duty boring machine.

本文给出线性多变量控制系统的一种分析设计方法,将预期特性和实际特性之差视为假想的内部反馈,引入并联校正装置补偿它对系统的有害影响。不同于通常的频率法或根轨迹法,这种方法不用图解,直接对系统的参数及结构进行分析计算,因而准确性较高,对多变量多迴路系统应用比较方便。在国产T615K重型镗床进给系统上进行试验,结果表明用本文的方法综合校正装置是有效的。

 
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