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the sign function
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  符号函数
     Appliccation of the Sign Function Matrix Discrimination Method to Computer-Plotting of Salt-Water Phase DiagramsⅡ.W_1-W_2,m_1-m_2 and X_1-X_2 Phase Diagrams of Complex Ternary Salt-Water System
     符号函数矩阵判别法在水盐相图计算机成图中的应用 Ⅱ.复杂三元水盐体系的W_1-W_2和m_1-m_2及X_1-X_2相图
短句来源
     The Sign Function and Its Application in Proving Inequalities
     符号函数与不等式的证明
短句来源
     In order to promote the performance, author presents an improved algorithm which uses the linear limit function to replace the sign function.
     针对该不足,本文用线性限幅函数代替原算法中的符号函数,利用线性限幅函数良好的过渡特性和放大性能提出了一种改进型算法。
短句来源
     In order to eliminate the chattering phenomenon in sliding-mode control, the saturation function is adopted to replace the sign function.
     为了削弱变结构控制中的抖振现象,采用饱和函数来代替符号函数
短句来源
     Furthermore,in order to reduce the chattering phenomenon,the sign function in sliding-mode controller is replaced by the saturation function.
     进而,在滑模控制器中又引入饱和函数取代符号函数,进一步减弱"抖振"现象.
短句来源
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  面的符号函数
     Considering the missile's actuator position saturation and velocity saturation,the sign function of the slide mode was improved and fuzzy logic was introduced to adjust the slopes of the sliding mode surfaces.
     其中,为克服导弹作动器的位置饱和、速率饱和问题,改进了滑动面的符号函数,并采用模糊逻辑对滑动面的斜率进行实时调整。
短句来源
  “the sign function”译为未确定词的双语例句
     The Sign Function in Syntactic Parsing of the Chinese Conjunctions like "Wu Lun": a Case Study of Modern Chinese for Information Processing
     “无论”类连词在句法分析中的标记功能——面向信息处理的现代汉语语法研究
短句来源
     By means of the perturbation method, we expand the solution in a power series in small parameter ε and reduce the sign function Sgn(x(?) ) to sign function Sgn(x_0(?) _0) of the first approximate solution.
     本文应用摄动法将所求的解展开为关于小参数ε的幂级数,并将记号函数Sgn(x)简化为第一近似解的记号函数Sgn(x_0_0)。
短句来源
     In this paper,by use of the definition of the sign function and the two results obtained,some inequalities are proved.
     文章利用符号函数的定义导出了两个结论 ,并利用所得结论证明了不等式
短句来源
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  the sign function
With the sign function method it is possible to obtain a low-rank approximation to a full-rank factor of the solution directly.
      
We investigate the numerical solution of large-scale Lyapunov equations with the sign function method.
      
We investigate the numerical solution of the stable generalized Lyapunov equation via the sign function method.
      
A link between the matrix sign function and this square root is exploited to derive both old and new iterations for the square root from iterations for the sign function.
      
We show how one can modify the sign function to obtain a proper choice of the structure constants.
      
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This paper studies periodic solution of forced vibration of a two-degreeof-freedom body with friction dampers. It discusses the conditions that the road excitation is simplified to the harmonic support motion and the friction is proportional to the displacement of the body. Firstly, we derived the differential equation of motion of system. Because of the existanee of friction, discontinuous terms with sign function Sgn (x(?)) appear in the equation, so that there will be some difficulties in solving them. By...

This paper studies periodic solution of forced vibration of a two-degreeof-freedom body with friction dampers. It discusses the conditions that the road excitation is simplified to the harmonic support motion and the friction is proportional to the displacement of the body. Firstly, we derived the differential equation of motion of system. Because of the existanee of friction, discontinuous terms with sign function Sgn (x(?)) appear in the equation, so that there will be some difficulties in solving them. By means of the perturbation method, we expand the solution in a power series in small parameter ε and reduce the sign function Sgn(x(?)) to sign function Sgn(x_0(?)_0) of the first approximate solution. Finally, we obtain the nonresonance periodic solution of system and come to some conclusions for vibrational properties.

本文研究装有摩擦减震器的车体的两个自由度强迫振动的周期解。讨论了路面的干扰简化为简谐支承运动、摩擦力的大小与车体的位移成正比的情况。文中首先建立了系统的运动微分方程。由于存在摩擦力,方程式中出现了带有记号函数Sgn(x)的非连续项,因而给方程的求解带来了困难。本文应用摄动法将所求的解展开为关于小参数ε的幂级数,并将记号函数Sgn(x)简化为第一近似解的记号函数Sgn(x_0_0)。最后得出系统的非共振周期解,获得了关于振动特性的一些结论。

This paper presents an algorithm for nonlinear inequality constrained optimization problems which begins at any starting point.The search direction is formed by using gradient projection, and the search directions and functions are controlled effectively by the sign functions. Such that the direction will become feasible descent direction, and the search function will change into the objection function from penalty function whenever some iteration point go into the feasible region....

This paper presents an algorithm for nonlinear inequality constrained optimization problems which begins at any starting point.The search direction is formed by using gradient projection, and the search directions and functions are controlled effectively by the sign functions. Such that the direction will become feasible descent direction, and the search function will change into the objection function from penalty function whenever some iteration point go into the feasible region. (So call it subfeasible direction method.) It is shown that this method possesses global convergence and the penalty parameters are adjusted only finite times under mild conditions.

本文给出非线性不等式约束最优化问题的一个初始点可任取的算法。利用梯度投影构造搜索方向,并使用符号函数对搜索方向和搜索函数进行有效的控制。使得一旦迭代点进入了可行域,其后的方向将成为可行下降方向,搜索函数将由罚函数变为原问题的目标函数(故称之为次可行方向法)。在较为温和的条件下证明了方法的全局收敛性,及罚参数只需进行有限次调整。

In this paper,the author proposes a new method to determine the accelerating factor in the matrix sign func-tion method.The convergence speed of the new method is satisfactory.How to solve both continuous algebraicRiccati equation and discrete algebraic Riccati equation by use of the sign function is also discussed in this paper。

在进行线性二次型控制系统最优控制设计时,需要求解黎卡提方程。近年来人们对符号函数法求解黎卡提代数方程给予了更多的重视,这种算法的特点是收敛速度快,不需选择初值阵P0,且编程容易。本文就加速因子给出了新的选取方法,使得迭代式收敛速度十分令人满意。

 
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