Mathematical-analysis

this folder contain universal dataset for classification

说明：  上一届传下来的粒子群算法，需要进行优化的可以用这个程序(Particle Swarm Optimization )

通过大规模求解超越方程组给出颗粒体系共振关系中的虎纹斑图形，全部运行时间约40秒(Through large-scale solution of equations gives the particles beyond the resonance relations system tiger spot graphics, run all the time about 40 seconds.)

遺傳算法應用於MATLAB 遺傳算法應用於MATLAB(Genetic algorithm is applied to MATLAB MATLAB genetic algorithm is applied)

这个课题设计从地球的近地轨道起飞到达谷神星预定轨道并且着陆在其表面上的一种数值方法。基于有限时间的航行纠正点火而非瞬时推力数值计算和Matlab仿真。最后可以看到空间飞行器从地球的影响球飞到谷神星的影响球的飞行轨迹。(This project explores the mathematical methods and results of designing a mission to land a spacecraft on the asteroid Ceres by beginning in an earth-centered LEO orbit and ending in an orbit prepared to land on the surface of the asteroid. Rather than assume instantaneous velocity changes, course-correcting burns of finite time are considered and analyzed using numerical methods and Matlab computation. The behavior of the spacecraft is observed inside the Earth s sphere of influence, in interplanetary space, and inside Ceres sphere of influence. )

自适应滤波器的特点是自动调节自身的冲激响应,达到最优滤波,此算法适用于平稳和非平稳随机信号,并且不要求知道信号和噪声的统计特性。(Adaptive filter is characterized by automatic adjustment of its own impulse response, the optimal filtering, this algorithm applied to a smooth and non-stationary random signal, and does not demand to know the signal and noise is investigated.)

说明：  扩展卡尔曼滤波算法是目前最常用的非线性滤波算法之一，其核心思想就是将非线性模型线性化后，然后采用标准的卡尔曼滤波算法进行迭代滤波，这是一种最基本的解决非线性滤波问题的方法，目前在目标跟踪领域得到了广泛的运用。(Extended Kalman filter is the most commonly used one of nonlinear filtering algorithm, the core idea is that the nonlinear model is linearized, and then apply the standard Kalman filtering algorithm to filter, which is one of the most solve the basic problem of nonlinear filtering methods, the current target tracking has been widely used.)

In this Program, we design PID controller for Control of AUV depth. AUV is Automatic Underwater Vehicle that use in Underwater action and Control of its Depth is important.

matlab编程计算在复杂网络中任意两点之间的路径(The path between two points in the complex network )

此函数实现蚁群算法，用于PID控制参数优化(The function realization of ant colony algorithm for PID parameters optimization )