模函数

It was proved that the existence of an absorbing set and a global finite dimensional attractor which is compact, connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations.

利用了无穷维动力系统理论，证明了两个高频模态耦合的Ginzburg-Landau方程在函数空间中存在吸引域，因而存在连通的、有限维的紧的整体吸引子。

An example is applied to show the stability of hybrid systems could be analyzed by using multiple Lyapunov function when the switching hypersurface becomes sliding mode.

针对由离散事件监控连续动态系统的这一类混杂系统稳定性问题，首先分析了多Lyapunov函数方法己有结果的不足，用一个算例来说明切换超平面成为滑动模时，基于多Q叩unov函数方法，并不能证明混杂系统的稳定性。

In this paper, we generalized the reverse Shebyshev inequality and obtained the integral inequality of two vector function s, whose monotone of correspondence elements is reverse.

推广了反向Chebyshev不等式，得到了对应分量的单调性相反的连续向量函数的积分不等式和模的单调性相反的连续向量函数的积分不等式。

To overcome the difficulties, we use the method with three object functions which are the minimum Lp norm, the deviation between the calculated magnetic fields and the measured magnetic fields, and the number of the sources.

为了克服上述两种方法的困难，采用多目标函数最优化法。该方法的目标函数为，(1)未知源的Lp模，(2)由未知源计算出的磁场与测量的磁场之间的偏差，(3)源的数目。

The speciality to let several coefficients of S-M algorithm are analyzed;(2) We first propose the nonlinear and adaptive prediction model based on several closest neighbors and extend the method to multistep prediction;(3) We first exploit Empirical Mode Decomposition technology to predict hopping frequency codes, it is namely that a complex time series is decomposed as several Intrinsic Mode Functions easy to prediction, then predict these IMF respectively, at last reconstruct estimated values of the time series;(4) We exploit the above prediction model validate effect while there are omitted data in observed time series and propose the corresponding resolve.

1具体分析了S-M算法中几个参数设置的特点；(2)首次提出了基于邻近点的非线性自适应预测模型，同时将这种算法推广到多步预测；(3)首次采用经验模态分解技术预测跳频码，即将一个复杂难以预测的时间序列分解为几个相对容易预测的本征函数，然后分别预测这些本征函数，最后重构出时间序列的估计值；(4)应用基于邻近点的非线性自适应预测模型验证了观测时间序列存在数据缺损时的预测效果，并提出了相应的解决办法。

For intramolecular electron transfer reactions in solution,the fluctuations of the intramolecular vibrational modes are much faster than that of solvent mode.Thus,the reaction-diffusion equation is commonly used to describe the motion of solvent,with a sink function to treat the vibrational high-frequency mode.Based on this theory-so -called the Sumi-Marcus theory,we proposed an imaginary-time split operator approach to solve the reaction-diffusion equation.The approach is applied to evaluate the intermolecular ET rate between oxazine 1 and N,N-dimethlaniline.By measuring the two average survival times of the donor state probability and the rate constant in long time limit,the full kinetics of the ET is revealed with a variety of sink functions.

对于扩散控制的溶液中的电子转移反应，分子内振动模的运动比溶剂运动快很多，Sumi-Marcus理论提出用反应扩散方程(reaction-diffusion equation)处理溶剂的扩散运动，而分子内的振动用sink函数来表示，我们基于此理论发展了用虚时间分裂算符的方法(imaginary-time Split operator approach)解反应扩散方程，并将其应用于嗪1(oxazine 1，OX1)和N，N-二甲基苯胺分子之间的电子转移反应，Sink函数采用几种不同的微扰表达式，通过计算得到给体几率衰减的两种平均速率和长时间极限下的速率常数，揭示了该体系电子转移过程中的一些动力学性质。

Based on combining switched Lyapunov function and parameter dependent Lyapunov function, a robust H∞ filter with structure switched according to the system model changes was designed for networked control systems with limited bandwidth and polytopic uncertainties.

针对一类通讯受限的不确定网络控制系统，结合切换Lyapunov函数和参数依赖Lyapunov函数方法，提出了一种基于模态切换构造的鲁棒H∞滤波器设计方法。

All functions and methods defined in this module are equivalent to the C functions with "AL" prefixed to their name.

本模组所定义的所有函数及方法和 C 中以&AL&前缀的同名函数是等价的。

The adaptive fuzzy sliding mode soft switch controller is designed by using the replacement of sgn function by tanh function, which realizes the soft switch control and reduces chatting.

利用双曲正切函数代替符号函数，设计了自适应模糊滑模软切换控制器，实现了软切换连续控制，削弱了抖动现象。

A very important result of modified model is that leads to coupling between elastic volumetric stress and elastic deviatoric strain behavior.

论文研究了弹性体积及剪切模量对Gibbs自由能函数的贡献，构造土体的Gibbs自由能函数，对柔度矩阵进行修正。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。