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微分
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  differential
    Robot Manipulability Research Based on Differential Geometry
    基于微分几何学的机器人操作性能的研究
短句来源
    Robust Analysis and Control for It(?) Stochastic Differential Systems with Time Delay and Markovian Switching
    时滞Markov切换It(?)随机微分系统的鲁棒分析与控制
短句来源
    Control Theory and Application for Nonlinear Differential Algebraic Systems
    非线性微分代数系统的控制理论与应用
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    DIFFERENTIAL GAMES:ITS BEGINNING,DEVELOPMENT AND SOME PROBLEMS AT PRESENT
    微分对策——其起源及某些发展和问题
短句来源
    ON THE QUANTITATIVE AND QUALITATIVE DIFFERENTIAL GAMES
    关于定量与定性微分对策
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  differential calculus
    The Realization of Differential Calculus in PID Intelligent Controller
    PID数字控制仪表中微分作用的精确实现
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  “微分”译为未确定词的双语例句
    The Computer Realization and Application of Precise Solution to Differentiating Operation
    微分运算精确解的计算机实现及应用
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    N- OBJECTIVE PROGRAMMING OF INFINITE- DIMENSIONAL SYSTEMS
    约束条件为无穷维分布参数系统的N微分目标规划问题
短句来源
    Unbiased-Consistent Parameter Estimationfor Stochastic Continuous Systems via the DifferentialTransformation of Legendre Polynomials
    基于Legendre多项式微分变换的随机连续系统无偏一致参数估计
短句来源
    CONTROL AND STABlLITY OF VARIABLE STRUCTURE SYSTEM WITH GENERALIZED BILINEAR PROPORT ION-DIFFERENTIATION
    一般双线性比例-微分变结构系统的控制及其稳定性
短句来源
    STUDY OF STRUCTURE OF CONTROL LAW FOR PROPORTIONAL-DERIVATIVE VARIABLE STRUCTURE SYSTEM WITH GENERALIZED BILINEAR
    一般双线性比例-微分变结构系统中控制律的构成研究
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  differential
In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle.
      
We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
      
Quantum integrable systems and differential Galois theory
      
This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.
      
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.
      
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  differential calculus
Some applications of free differential calculus in Group theory
      
In this paper, we construct the algebra of differential forms with exterior differential satisfying d3=0 on the two-dimensional quantum plane assuming that the homomorphism defining first-order differential calculus is linear in variables.
      
Poincaré-Lie algebra and noncommutative differential calculus
      
A realization of Poincaré-Lie algebra in terms of noncommutative differential calculus was constructed.
      
This leads to a colored generalization of the R-matrix procedure to construct a bicovariant differential calculus on the colored version of GLq(2).
      
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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 the...

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.

In many electric drive systems, the feedback stabilization is a commonly used method. This paper proposes a method of selecting the system configuration and the parameters of stabilizing networks. The analysis indicates that the multiloop derivative feedback constitutes a system configuration which is most likely to be stable. The calculating method is simple and the characteristics of the transient performance can be estimated.

在许多电力拖动系统中并联稳定是一种常用的方法。本文分析了一种结构形式,从而提出一种选择稳定环节的原则以及计算参数的工程方法。 所采用的方法是多回路的微分反馈,理论分析表明,它是一种使系统易于稳定的结构. 参数计算方法比较简便,而且过渡过程的特征可以近似估算。

In this paper some new results concerning analysis and synthesis of time optimalcontrol systems are given. We assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space. Geometric properties of the iso-chronous region of these systems in phase space and the facts connected with these whichhavc fundamental meaning for the solution of the synthesis problem are discussed. More-over,...

In this paper some new results concerning analysis and synthesis of time optimalcontrol systems are given. We assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space. Geometric properties of the iso-chronous region of these systems in phase space and the facts connected with these whichhavc fundamental meaning for the solution of the synthesis problem are discussed. More-over, the facts which are formulated in theorems have also their independent interest.At the end of this paper the method of synthesis of the optimal control system with con-stant and variable coefficients and two illustrative examples are given.

本文介绍一些关于最速系统的分析与综合理论的新结果。受控系统的运动设为变系数线性常微分方程组所描述,而系统的终点状态是相空间内的某一凸性区域。文内详细介绍了相空间内等时区的几何特性及与此有关的事实,它们对系统综合具有重要意义。此外,以定理形式所叙述的事实具有独立的意义。文末指出线性变系数和常系数系统的综合方法及应用这一方法的例题。

 
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