Perturbation and robust controllability of singular distributed parameter control systems in Hilbert space

Perturbation and robust controllability of the singular distributed parameter control system are discussed via functional analysis and the theory of GE-semigroup in Hilbert space.The perturbation principle of GE-semigroup and the sufficient condition concerning the robust controllability of the singular distributed parameter control system are obtained,in which the controllability for singular distributed parameter control system is not destroyed,if we perturb the equation by small bounded linear operator.     

Structural Prediction of Membrane Protein: Application to Known Structures

Membrane proteins are embedded in the lipid bilayer,which creates a suitable environment for their actions. It is important to decide which tpye it belongs to because it is closely relevant to its biological fumction and its interaction process with other molecules in a biological system. Membrane proteins have different types. The function of a membrane protein is closely correlated with the type it belongs to. In this study, on the basis of the concept of pseudo amino acid (PseAA) composition originally introduced by Chou, the value of approximate entropy (ApEn) of the query membrane protein was used to integrate the complementary information. By fusing fifteen powerful individual fuzzy K-nearest neighbor (FKNN) classifiers, an ensemble classifier was presented.Each basic classifier was trained in PseAA composition of membrane protein sequences with different parameters. The results of experiments demonstrate it is efficient for the structural prediction of membrane proteins.     

关于时不变线性系统的可控性与可观性

讨论了多输入、多输出时不变线性系统 x=Ax + Buy =Cx 在矩阵组 ( A,B,C)为不确定 ,但取值于一个给定的有界闭集的情况下 ,系统的可控性与可观性的充分条件。采用矩阵不等式进行讨论 ,为解决此问题建立一个充分条件。     

近似方程在换热器设计中的应用

在换热器的设计及换热系统网络优化中， 对数平均温度差（ ＬＭＴＤ） 的计算有十分重要的意义－ 本文对已提出的近似方程代替对数平均温度差的计算方法进行了评价， 指出Ｊ． Ｊ． Ｊ． Ｃｈｅｎ 提出的近似方程在换热系统网络设计中优于其他方程     

On the monotone iterative method for set valued equation

This paper deals with the monotone iterative method for set-valued operator equation in ordered normed space. Some results for the case of single valued operator are generalized here, as an application, a discontinuous nonlinear differential equation problem is discussed. Foundation item: Supported by the Naional Natural Sciences Foundation of China Biography: TIAN Yan (1970-), male, Ph.D. candidate, research interests are in numerical analysis for PDE     

基于小波特征匹配的短时人体行为识别

在人体行为识别研究中，特征选取是关键。为了获取充分且稳定的行为特征，往往对超过一个行为周期的长时行为数据进行处理，而小于一个行为周期的短时行为数据特征通常不稳定，难以做到准确稳定识别。提出一种基于小波变换和模板匹配相结合的短时人体行为识别方法。使用小波变换方法提取系数特征，将短时测试样本的特征与模板库中的特征进行匹配，根据相似性对行为动作做出分类识别。实验结果表明，此方法对于短时行为动作具有较为准确和稳定的识别性能，有助于实现对人体行为动作的实时识别。     

基于恒等变换的单摆振动解析逼近

应用修正的谐波平衡法构造了单摆大幅振动的解析逼近周期和周期解.通过引入三角变换或反三角变换将单摆振动方程恒等变形为关于新变量的Duffing方程或其他易于处理的非线性振动方程,利用牛顿谐波平衡法构造了单摆振动的解析逼近解.给出的解析逼近周期及周期解简单易用,几乎在振幅(初始摆角)的全部取值范围内,都有很高的逼近精度.     

抛物问题的一类变网格矩形有限元方法

传统有限元方法要求区域剖分满足正则性条件.对一类抛物问题,首先可利用相应的矩形元,绕开区域剖分中正则性条件的限制,再结合变网格思想,导出所讨论问题的全离散有限元格式;其次,利用Riesz投影算子,通过一些新的技巧和方法,得到与传统有限元相同的最优误差估计.     

关于基于近似次梯度的非光滑优化束方法的对偶问题的研究

利用目标函数值和近似次梯度,构建了非光滑无约束优化问题目标函数的一个下近似模型,通过对该近似模型取极小寻找下一个可能使目标函数值下降的试探点.利用Lagrange函数写出了原近似问题的对偶问题,揭示了原近似问题的最优解与对偶问题最优解之间的关系,并进一步分析了相应的近似次梯度的某种凸组合与目标函数在当前迭代点的次微分以及目标函数的近似模型在当前迭代点的近似次微分之间的所属关系.所得结果为原近似问题的求解开辟了新思路,也使整个外层束方法的执行变得简单易行.