二级倒立摆

一种比较简单的蚁群算法的matlab实现，包括完整的代码(A relatively simple ant colony algorithm matlab implementation, including the complete code)

GM（1，1）模型，Matlab程序。只需要将已知数据输入给x0，就可以计算灰色模型的各个参数，还可以选择预测未来点的个数。(GM (1,1) model, Matlab program. Simply known data input to x0, we can calculate the various parameters of gray model, you can also choose to predict the number of future points.)

2010 数学建模大赛 赛前matlab培训3(Mathematical modeling knowledge and experience 2010.zip)

Second order elliptic partial differential equations，二阶椭圆型偏微分方程求解程序(Second order elliptic partial differential equations)

快速傅里叶变换 可以计算并且仿真出图片等，里面包括三角变换、逆变换等。(Fast Fourier Transform And simulation can be calculated, such as a picture, which includes the triangular transform, inverse transform and so on.)

通过比较奇异谱图和高阶奇异谱图得出结论：高阶奇异谱分析能够更好的二次确定嵌入维数。最后根据Takens嵌入定理进行相空间的重构。(By comparing the spectra of singular spectrum and higher-order singular conclusion: High singular spectrum analysis to better determine the embedding dimension of the secondary. Finally, according to Takens embedding theorem for phase space reconstruction.)

The optimization behavior of the self-adaptation (SA) evolution strategy (ES) with intermediate multirecombination (the (=I )-SA-ES) using isotropic mutations is investigated on the general elliptic objective function. An asymptotically exact quadratic progress rate formula is derived. This is used to model the dynamical ES system by a set of difference equations. The solutions of this system are used to analytically calculate the optimal learning parameter  . The theoretical results are compared and validated by comparison with real (=I )-SA-ES runs on typical elliptic test model cases. The theoretical results clearly indicate that using a model-independent learning parameter  leads to suboptimal performance of the (=I )-SA-ES on objective functions with changing local condition numbers as often encountered in practical problems with complex fitness landscapes.

本程序仿真出了pH对象模型 并采用PID算法进行了控制 可以得出控制曲线(This procedure simulated the pH Object Model and PID algorithm, the control can draw the control curve)

matlab的简单小例子。。可以完成一下诶简单的。绘图(simlpe gui designed)

最优化理论及其matlab设计中的armijo算法，用于最优化搜索算法的求解步长(Optimization theory and matlab design armijo algorithm for optimizing search algorithm for solving step)