双曲正切函数

用推广的双曲正切函数法求解两类重要方程

Solutions of BBM-Burgers equation by extended tanh - function method

根据模糊推理估计集成不确定边界，利用双曲正切函数代替符号函数实现软切换连续控制。

The integration uncertain border value is estimated by fuzzy inference and the soft switch control is accomplished by tanh ( x ) function replacing sgn ( x ) .

基于双曲正切函数的非线性PI控制器及其在感应电动机矢量控制中的应用

A Nonlinear PI Speed Controller Based on Hyperbolic Function and Its Application in the Vector Control of an Induction Motor

方法：利用动态学习比率BP算法以双曲正切函数为功能函数的非线性时间序列预测方法。

Method : Based on dynamic error correction BP artificial neural network with Hyperbolic Tangent function as activation function and the number of hidden node six .

最后利用双曲正切函数的性质和MRP自身的性质，分别设计了控制输入受限情况下的姿态调节和跟踪控制算法。

At last , by utilizing the property of hyperbolic tangent saturation function and MRP , the attitude regulation and tracking control algorithms are designed .

针对控制输入受限问题，设计了卫星的姿态调节和跟踪控制算法。利用双曲正切函数和MRP参数自身的性质，当控制器参数满足一定条件时，能很好地实现控制力矩受限问题。

By utilizing the property of hyperbolic tangent saturation function and MRP , the attitude regulation and tracking control algorithms are designed , which can guarantee the control constraints of closed-loop when control parameters design meet specified conditions .

基于符号计算和Riccati方程解的新展式，利用扩展的双曲正切函数法给出双sine-Gordon方程的新的精确行波解。

Based on the symbolic computation and a new expansion ansatz of solutions of the Riccati ( equation ), the extended tanh-function method was used to find the new types of exact travelling wave solutions of the double sine-Gordon equation .

许多新的寻找非线性演化方程的精确解的方法被提出，如齐次平衡法、试探函数法、双曲正切函数法、sine-cosine法以及Jacobi椭圆函数展开法等。

Many new methods for obtaining the exact solutions of NLEEs are proposed , such as the homogeneous balance method , the trial function method , the tanh-function method , the sine-cosine method and Jacobi elliptic function expansion method , etc.

基于双曲正切函数的变步长盲均衡算法

New Variable Step Size Constant Modulus Algorithm Based on Hyperbolic Tangent Function

一种基于双曲正切函数的自适应图像放大算法

An Adaptive Image Magnification Based on the Hyperbolic Tangent Function

双曲正切函数表的妙用

A magical effect for function table of hyperbolic tangent

应用双曲正切函数法得到了该方程精确的行波解。

By means of hyperbolic tangential functions , the author has arrived at the exact traveling-wave solution to the equation .

利用双曲正切函数，无须区分亲和度界限，决定个体细胞的变异率，实现细胞群的自适应变异；

Adaptive mutation of cells population was realized by using hyperbolic tangent function to determine mutation probability without considering limitation of affinity .

提出一种滑模控制策略，采用双曲正切函数代替符号函数，消除了抖振。

Presents a kind of sliding mode controller , to eliminate chattering , use the hyperbolic tangent function instead of sign function .

采用了仪表化冲击试验设备和双曲正切函数回归计算的数据处理方法，因而确保了实验结果的准确性。

The advanced instrumented impact test equipment and the method for treating test data with the hyperbolic tangent function ensure the accuracy of results .

之后，设计了双曲正切函数的鲁棒补偿项，从而得到一种没有抖振的平滑控制输入。

Then , a robust compensation term is developed in form of hyperbolic tangent function to obtain a smooth control input without chattering phenomena .

针对不同情形，通过恰当地利用双曲正切函数，提出了三种连续有界的协同控制器。

According to different cases , three kinds of continuous and bounded coordination controllers are proposed with the novel use of hyperbolic tangent functions .

为方便非线性问题的编程计算，采用双曲正切函数对单元算式进行了连续化处理。

For the convenience of programming of nonlinear problem , the sudden change in element stiffness is expressed by a continuous function of hyperbolic tangent .

其中部分输出反馈方案由于引入了双曲正切函数和饱和函数，还能考虑控制力矩幅值受限的问题。

Because of having adopted hyperbolic tangent saturation function and general saturation function , partial output-feedback scheme can handle the problems of limited control torques .

针对自然梯度算法对于步长的依赖性，提出了一种改进的基于双曲正切函数自适应步长方法。

In view of the natural gradient algorithm for step size dependence , this paper proposes an improved adaptive step-size method based on hyperbolic function .

在分析多层感知器神经网络的基础上，推导了双曲正切函数为激励函数的误差后向传播算法。

Based on analyzing the multilayer perceptron neural network , it induces the error backpropagation algorithm while taking the hyperboloid tangential function as nonlinear activation function .

建立了基于双曲正切函数的水污染经济损失率模型，对水环境污染与农业经济损失模型参数进行了探讨。

In addition , we build a water pollution-economic loss model based on hyperbolic secant function , and discuss the parameters in the model about water pollution-agriculture loss .

文中选择双曲正切函数作为激励函数，其（-1，+1）的值域范围更适合本文的网络输出。

The paper select hyperbolic tangent function as activation function , whose ( - 1 , + 1 ) value range is more suitable for this network output .

用假设法把双曲正切函数法中的双曲正切函数替换成由指数函数组合而成的复合函数，并构造了非线性发展方程的精确孤立波解。

In this paper new exact solitary wave solutions of some nonlinear evolution equations are constructed by replacing the hyperbola function with the combinations of the exponential functions .

利用扩展的双曲正切函数法获得了（2+1）维长波短波共振相互作用方程的多组新显式精确行波解。

Applying the modified extended tanh-function methods , many types of new explicit traveling wave solutions of the ( 2 + 1 ) dimensional long wave-short wave resonance interaction equations are obtained .

基于齐次平衡方法的思想，利用扩展双曲正切函数变换方法获得了具有色散项的长波方程组和具有5次强非线性项的波方程的精确解。

The exact solutions of the dispersive long-wave equation and nonlinear wave equation with fifth-order strong nonlinear term are obtained by using extended tanh-function transform method based on the idea of the homogeneous balance method .

其次设计了一个具有良好的鲁棒性和快速性的滑模变结构控制律，采用了反双曲正切函数，避免了滑模变结构控制中的抖振问题。

Secondly , a sliding mode variable structure control law with good robustness and rapidity is designed . We use reverse hyperbolic tangent function to aviod the chattering problem in sliding mode variable variable structure control .

其中，在设计鲁棒控制项时，采用双曲正切函数代替常用的符号函数，使得系统信号趋于光滑，运行更顺利。

In order to let the system run smoothly and let the signals in the system tend to be smooth , the hyperbolic tangent function , instead of sign function , is adopted in design of the robust control terms .

同时选用含有调整参数的双曲正切函数作为节点的激活函数，弥补由于未考虑激活函数的输出值域、影响神经网络辨识精度和速度不足的问题。

Meanwhile , the hyperbolic function with adjustable parameters is selected as the activation function of nodes . This compensates the deficiency of Neural Network identification in accuracy and speed , caused by neglecting the output domain of the activation function .

为了克服二值的零交叉决策过程导致的虚假的分片常数图像，利用双曲正切函数代替符号函数，柔和地控制边缘的零交叉点两侧像素的灰度值变化。

To overcome the false result with piecewise constant regions produced by the binary zero-crossing decision process , a hyperbolic tangent function is used to substitute the symbol function , governing softly the varieties of gray levels of pixels beside the zero-crossing of edges .