Stabilization of Delayed Networks with Different Nodes

In this paper,the control of complex delayed networks with different nodes is proposed.Firstly,the stabilization of coupled networks with time delay is investigated.By constructing a Lyapunov function,a linear feedback controller design procedure for the networks is converted to the problem of solving a set of linear matrix inequalities.Then the results are extended to networks with both delayed dynamical nodes and delayed couplings.It is shown that the stabilization of complex networks is determined by the dynamics of each uncoupled node,coupling matrix and feedback gain matrix of networks.Two examples are simulated.In the first example,a network with 10 nodes consisting of Lorenz systems and systems proposed by Zhang in 2009 is given.It is found that the network states are divergent without control,and convergent under designed linear feedback controllers.In the second example,a larger network with 100 nodes consisting of delayed Chen systems and delayed Lorenz systems is given.The proposed method is also effective for large scale networks.     

格律诗排序题

要给打乱了顺序的绝句或律诗排序,就必须了解格律诗的有关知识。格律诗讲究押韵、对仗和平仄,富于节奏感和音乐美,可根据格律诗的这些特点,寻求排序的具体方法。     

广义线性模型极大似然估计弱相合性的数值模拟

广义线性模型是经典线性模型的自然推广,它是一类应用广泛的统计模型.选择Probit模型,利用matlab编程,通过数值模拟的方法验证了广义线性模型的极大似然估计的弱相合性.     

基于PSO和多元线性回归的奥运会奖牌预测分析

针对传统奥运会成绩预测模型中存在的不足,提出一种将PSO和多元线性回归分析相结合的预测模型。分析多元线性回归和PSO算法后,结合体育比赛的特点,通过PSO优化迭代计算,确定奖牌统计模型中各回归系数,建立了奥运会参赛国成绩与回归系数之间复杂的非线性关系。利用Matlab对建立奖牌模型进行了验证,预测精度高。     

趣味阅读迷宫

对联排序（甲）万古丹心盟日月,千年义气表春秋。（乙）未劈曹颅千古恨,曾医关臂一军惊。（丙）天意欲兴刘,到此英雄难用武;人心犹慕项,至今父老尚称王。（丁）由仁居义,传尧舜、禹汤、文武、周孔之道;知言养气,充恻隐、羞恶、恭敬、是非之心。上面对联各咏一历史人物,若依序排列,     

圆内一类线段长度的排序问题

[数学问题351]问题 P为三角形ABC内的一点,直线4P分别交边BC和三角形ABC的外接圆于点M和N,当点P为三角形ABC的内心,重心,约尔刚点（M为内切圆切点）,奈格尔点（M为旁切圆切点）,外心和垂心时,分别记线段MN的长为l_1,l_G.l_K,l_O,l_H.     

Grover量子搜寻算法的线性光学实现

利用线性光学元件和单光子来编码量子比特,可给出Grover量子搜寻算法的光学实现方案。该方案可以推广到多个量子比特的情况。     

“冒泡法排序”教学设计

一、教材分析本教案采用的教材是《算法与程序设计》（教育科学出版社2004版选修本）第三章＂算法的程序实现＂中第四节＂对数据进行排序＂的内容。     

变分法在临界半线性薛定谔方程中的应用

变分法对于数学理论及其应用的发展有着极其深远的意义,它是解决许多数学问题的重要工具。它对应于泛函的临界点,其基本问题是求泛函的极值及相应的极值函数。本文讨论变分法在临界的半线性薛定谔方程中的应用。