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In order to calculation Lyapunov exponent spectrum of unknown system,firstly,reconstruct phase space of observed one-dimensional time series,secondly,use Least-Squared Support Vector Machine approximate dynamical equation of reconstruction system and calculation Lyapunov exponent spectrum by Jacobian matrix.

为了计算未知系统的Lyapunov指数谱,首先,对一维观测数据序列进行相空间重构,然后,利用最小二乘支持向量机逼近重构系统的动力学方程,再通过雅克比矩阵计算Lyapunov指数谱。

But it is strongly nonlinear for vortex, hysteresis and magnetic saturation, so can hardly be identified by traditional identification model.

但是其存在涡流、磁滞和磁饱和等现象,机理复杂而且具有强非线性,用传统的系统辨识模型无法在较大的范围之内精确地逼近实际系统。

In generic mathematical approximation methods Chebyshev multinomial approximation algorithm has better effect on reducing approximation error. This paper brought forward a parallel Chebyshev multinomial approximation algorithm based on a unique representation of complex curve, and implemented the parallel program in two Java methods.

常用的数学逼近法中切比雪夫多项式拟和法误差较小,对此,提出一种基於复杂曲线表示的切比雪夫多项式拟合并行算法,并采用两种Java方案实现并行程序。

A new method for consistency adjustment of fuzzy preference relations matrix in Group Decision is proposed.

针对模糊偏好关系矩阵本身是否一致,使得原矩阵渐进逼近目标矩阵的问题,提出了群决策中模糊偏好关系矩阵一致性调整的新方法。

We analyze and compare the advantage and the weakness of these two algorithms, and apply the second method to the approximation of tensor product offset surface.

文中分析和比较了这两种算法的优缺点,并将第二种方法推广应用于求张量积等距曲面的逼近。

Ii A new class of fuzzy two-stage minimum-risk model is proposed. The approximation of credibility function and the convergence of approximation method are discussed.

建立一类新的模糊两阶段最小风险模型,讨论可信性函数的逼近方法及其收敛性。

The approximation error is defined as the integral of the minimum distance between each surfel on the original model and the fitting surface.

算法中的逼近误差定义为原始模型各面元到拟合曲面最小距离的积分。

Numerical results show that when the parameter is small enough a global minimum point can be always found with this method.

它的特殊情况是带箱约束的非凸二次规划,对这一情况已经提出了几种逼近方法[5,6] 。

Key words:Almost monotone approximation,Boundary value problems,Non-linear elliptic systems

在第五章,我们提出了具有拟单调性的非线性椭圆型方程组边值问题的几乎单调逼近。

In order to realize the output prediction on-line and rolling optimization, the approximate models have been used as the internal model instead of the distributed model. Thus the predictive algorithms are greatly simplified.

为了解决系统输出的在线预测和滚动优化,文中采用正交函数逼近模型作为系统的内部模型,使在线预测、滚动优化成为现实。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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