基于Matlab的遗传算法程序设计

遗传算法作为一种新的优化方法,广泛地用于计算科学、模式识别和智能故障诊断等方面,它适用于解决复杂的非线性和多维空间寻优问题,近年来也得到了较为广阔的应用。文章简单介绍了遗传算法的原理和特点,以及基本操作和求解步骤,再基于Matlab编写程序求解函数极值的优化问题。程序设计过程表明,用Matlab语言进行优化计算,具有编程语句简单,用法灵活,编程效率高等优点,经仿真验证,该算法是正确可行的。     

二维泊松方程的遗传PSOR改进算法

针对二维泊松方程在实际应用过程中几种常用方法存在计算量大、易发散、局部收敛等不足,提出了一种改进算法.该算法基于并行超松弛迭代法,采用遗传算法对松弛因子进行全局寻优,解决了超松弛迭代法求解泊松方程时最佳松弛因子难以确定的问题.构建了多目标适应度函数,优化了遗传算子参数,分析了算法的计算量、计算时间与误差精度,与传统方法进行了对比研究.结果表明:松弛因子对泊松方程求解的速度与精度影响显著;改进算法能减少迭代次数,节省计算时间,加快方程的求解;算法适合于求解计算量较大、精度要求较高的时域有限差分方程,而且精度要求越高,算法的性能越好,节省的时间也越多.     

混沌量子克隆优化求解认知无线网络决策引擎

通过分析认知无线网络引擎决策, 给出了其数学模型, 并将其转化为一个多目标优化问题, 进而提出一种基于混沌量子克隆的优化求解算法, 并证明了该算法以概率1收敛. 算法采用量子编码, 利用Logistic映射初始化抗体种群, 设计了一种基于混沌扰动的量子变异方案. 最后, 在多载波环境下对算法进行了仿真实验. 结果表明, 与QGA-CE(基于量子遗传算法的认知引擎)算法相比, 本文算法收敛速度较快, 具有较高的目标函数值, 可以对无线参数优化调整, 满足认知引擎的实时性要求.     

二维有耗色散介质的时域逆散射方法

为了重建二维有耗色散介质的电参数分布,基于Debye模型,应用泛函分析和变分法,提出一种时域逆散射新方法.该方法首先以最小二乘准则构造目标函数,将逆问题表示为约束最小化问题,接着应用罚函数法转化为无约束最小化问题,然后基于变分计算导出闭式的Lagrange函数关于特征参数的Fréchet导数,最后借助梯度算法和时域有限差分法迭代反演Debye模型参数.为了对抗噪声污染和逆问题的病态特性,采用了一阶Tikhonov正则化方法.数值应用中,利用Polak-Ribière-Polyak非线性共轭梯度法,对二维乳     

基于遗传算法的光综合孔径圆周阵优化

从光综合孔径圆周阵列成像的基本原理出发,建立了圆周阵列的优化模型;采用改进的实数编码方法对子孔径阵列位置进行编码,运用遗传算法进行子孔径阵列的优化;以阵列的u-v覆盖点间距最大化及最小冗余度来设计目标函数,实现了8~16个子孔径二维圆周阵的优化排列;分析了二维圆周光综合孔径阵列成像系统的点扩展函数、光学传递函数和衍射成像的基本原理;对优化结果与模拟退火算法的结果进行对比,使用仿真成像程序分析其点扩展函数,并与均匀排布的圆周阵列进行对比。结果表明,采用改进的实数编码的遗传算法可以很好地解决综合孔径阵列优化的问题,相对于模拟退火算法,该方法的计算时间更短,结果更优。     

基于IAGA的空间测量定位系统测站优化部署

空间测量定位系统是一种基于光电扫描的角度交汇测量系统,由于该系统是在多测站协同作用下实现坐标测量,因此测站的布局优化是应用时面临的重要问题。为了解决该问题,提出了一种基于改进自适应遗传算法的测站优化部署方案。以系统定位精度、覆盖度和使用成本作为多目标优化函数;将进化代数衰减因子与自适应遗传算法相结合,根据多目标函数建立改进自适应遗传算法优化流程;对2~4个测站进行仿真优化分析。仿真结果表明,与传统自适应遗传算法相比,该方法能在10~20代内收敛到最优解并获得更优的目标函数值。因此该方法在空间布局优化设计中能有效提高系统的测量性能。     

应用遗传算法和序列锥规划进行圆阵的方向图综合

为了解决圆阵方向图旁瓣电平较高的问题,提出了一种圆阵方向图综合方法。该方法将圆阵方向图的峰值旁瓣电平作为目标函数,首先采用改进遗传算法对阵元位置和阵元权值进行联合优化,不仅避免了算法的早熟收敛,而且符合理论意义上的全局最优。其次将遗传算法的优化结果作为初始迭代点,在其附近利用一阶泰勒级数将非凸的圆阵方向图综合问题转化为序列锥规划问题,以便采用凸优化理论进行高效求解。由于该算法增加了寻优操作的后期变异能力,因而有效提高了优化性能。最后仿真表明,阵元数一定的情况下,算法在进一步降低峰值旁瓣电平的同时,可有效减小其动态变化范围,使得圆阵方向图综合性能更优。      

应用分割矩阵全局优化算法设计用于编码孔径成像的二维阵列

二维编码阵列是编码孔径成像的关键部件,它直接决定着再现的层析图像的质量。目前仍没有一种理想的二维阵列既具有较高的量子收集率,又具有良好的层析成像特性。采用一种新的方法———分割矩阵(DIRECT)全局优化算法,设计二维阵列,该算法适用于多变量“黑盒”问题的求解,并且具有比其他优化算法更快的收敛速度。其目的是设计一类自相关函数旁瓣最大值为1,同时具有最大填充率的二维编码阵列。理论分析及实验结果表明:用该算法搜索得到的二维阵列既具有较高的量子收集率,又具有良好的层析成像特性。     

抛物型方程的演化参数识别方法

给出了一种利用演化计算方法求解微分方程中的参数识别类型反问题的方法。该方法把参数识别问题转化为泛函的优化问题用演化算法来求解,指定待定参数的函数类形式,用遗传算法(Genetic Algorithms)来演化待求参数的最优估计值,并将该方法运用于线性扩散方程和拟线性对流扩散反方程反问题的数值模拟中。     

双激光束干涉条纹处理方法的研究

在分析了双激光束干涉条纹特点的基础上 ,提出了基于遗传算法的最小二乘非线性曲线拟合法 ,以实现对双激光束干涉条纹的高精度细分定位。该算法以高斯调制余弦平方函数为拟合模型 ,为克服目标函数在参数空间上存在多极 (小 )值现象 ,引入了具有全局优化能力的遗传算法以实现对目标函数寻优。仿真及实验研究表明 :该方法用于双光束干涉条纹处理具有很好的鲁棒性和自适应能力     

Influence of the Change in Charges on the Atoms of the CNO2 Fragment of Nitrobenzene Derivatives Caused by Substituents on the Frequency of the Antisymmetric Stretching Vibration of the Nitro Group

The dependence of the frequency of the antisymmetric stretching vibration of the nitro group of the para-derivatives of nitrobenzene on the charges on the atoms of the CNO₂ group calculated by the PM3 method has been investigated. It is shown that a change in the position of the absorption band of the antisymmetric stretching vibration of the nitro group of para-derivatives of nitrobenzene, as well as Hammett's constants _p , can be used as a measure of the electronic effect of substituents, that is, of a change in the charges on the atoms of the nitro group.     

胰蛋白酶溶液的激光拉曼谱

本文报道了用硝基苯萃取处理前后的胰蛋白酶溶液的拉曼光谱。通过分析酰胺Ⅰ和酰胺Ⅲ的拉曼特征频率，初步推断出该胰蛋白酶是含有α－螺旋、β－折叠和无规卷曲结构。同时对其侧链结构也做了初步分析     

The effect of nitrobenzene on the Raman spectra of ribonuclease in aqueous solution

The Raman spectra of the native ribonuclease treated with nitrobenzene in aqueous solution have been obtianed. The conformation of the main chain and the side chain in ribonuclease were studied. Among the amide Ⅰ and amide Ⅲ bands, the characters of β-sheet and random coil structures are clear. The disulfide bridges assume the gauche-gauche-gauche conformation. The parts of tyrosine residue are buried. It indicates that nitrobenzene treatment on protein aqueous solution is an efficient means for obtaining better Raman spectra.     

Interactions in the Nitrobenzene–Molecular Sieves System

Implantation of nitrobenzene into the inner space of aluminosilicate mesoporous molecular sieves of the MSM–41 type was investigated. The interaction of nitrobenzene with the active centers of the inner surface of channels was studied by the method of IR spectroscopy. It was hypothesized that the possible mechanism of this interaction is the formation of hydrogen bonds of the –NO₂...HO–Al(Si) type.     

Transient grating study of the intermolecular dynamics of liquid nitrobenzene

Femtosecond time-resolved transient grating(TG) technique is used to study the intermolecular dynamics in liquid phase. Non-resonant excitation of the sample by two crossing laser pulses results in a transient Kerr grating, and the molecular motion of liquid can be detected by monitoring the diffraction of a third time-delayed probe pulse. In liquid nitrobenzene(NB), three intermolecular processes are observed with lifetimes of 37.9±1.4 ps, 3.28±0.11 ps, and 0.44±0.03 ps, respectively. These relaxations are assigned to molecular orientational diffusion, dipole/induced dipole interaction, and libration in liquid cage, respectively. Such a result is slightly different from that obtained from OKE experiment in which the lifetime of the intermediate process is measured to be 1.9 ps. The effects of electric field on matter are different in TG and optical Kerr effect(OKE) experiments, which should be responsible for the difference between the results of these two types of experiments. The present work demonstrates that TG technique is a useful alternative in the study of intermolecular dynamics.     

Tracking molecular structure deformation of nitrobenzene and its torsion-vibration coupling by intense pumping CARS

The structural deformation induced by intense laser field of liquid nitrobenzene(NB) molecule,a typical molecule with restricting internal rotation,is tracked by time- and frequency-resolved coherent anti-Stokes.Raman spectroscopy(CARS) technique with an intense pump laser.The CARS spectra of liquid NB show that the NO_2 torsional mode couples with the NO_2 symmetric stretching mode,and the NB molecule undergoes ultrafast structural deformation with a relaxation time of 265 fs.The frequency of NO_2 torsional mode in liquid NB(42 cm~(-1)) at room temperature is found from the sum and difference combination bands involving the NO_2 symmetric stretching mode and torsional mode in time- and frequency-resolved CARS spectra.     

牛血清白蛋白水溶液的激光喇曼谱

本文报道了用硝基苯萃取法获得的牛血清白蛋白水溶液的喇曼光谱.定性地证明了该蛋白质多肽链可能由α-螺旋和无规则卷曲组成,酪氨酸残基在肽链中呈全“暴露”式,硫-硫键部位的几何构型为反式-扭式-扭式.     

Solvent Dependence of Tautomeric Equilibria of 1‐(o‐Substituted Phenyl)Barbituric and ‐2‐Thiobarbituric Acid Derivatives

Abstract

The enolisation tendencies of 1‐(o‐substituted phenyl)barbituric and ‐2‐thiobarbituric acid derivatives have been studied by observing the behaviour of the compounds in different solvents by ¹H and ¹³C NMR. It has been found that the enolisation tendencies of the thiobarbituric acid derivatives observed in polar solvents are greater than those of the barbituric acid derivatives. The ratio of keto–enol tautomers of thiobarbituric acid derivatives in DMSO and in DMF has been calculated.