ROBUST CONSENSUS FOR MULTI-AGENT SYSTEMS OVER UNBALANCED DIRECTED NETWORKS

In this paper, a distributed consensus protocol is proposed for discrete-time single-integer multi-agent systems with measurement noises under general fixed directed topologies, The time-varying control gains satisfying the stochastic approximation conditions are introduced to attenuate noises, thus the closed-loop multi-agent system is intrinsically a linear time-varying stochastic difference system. Then the mean square consensus convergence analysis is developed based on the Lyapunov technique, and the construction of the Lyapunov function especially does not require the typical balanced network topology condition assumed for the existence of quadratic Lyapunov function. Thus, the proposed consensus protocol can be applicable to more general networked multi-agent systems, particularly when the bidirectional and/or balanced information exchanges between agents are not required. Under the proposed protocol, it is proved that the state of each agent converges in mean square to a common random variable whose mathematical expectation is the weighted average of agents＇ initial state values; meanwhile, the random variable＇s variance is bounded.     

一类修正的多元和型积分算子的导数与函数光滑性间的关系

从一组递推条件出发，确定出一个含参变量的函数列／λｎｋ（β）（ｘ）／，以它为核心函数构造出一种三无和式积分算子，并将其修正为保线性算子，从而成功 Ｄｉｔｚｉａｎ对一元Ｂｅｒｎｓｔｅｉｎ算子数与函数光滑 有关讨论推至这种新的二元逼近算子。     

Ba空间中正线性算子逼近的Korovkin量化定理

本文研究Ｂａ空间中一致有界正线性算子列的逼近阶，得到了相应的Ｋｏｒｏｖｋｉｎ量化定理．     

两尺度相似逆变换的逼近阶

对于单小波,给出了0是变换矩阵的重根时两尺度相似逆变换（ITST）的逼近阶.对于多小波系统,首先,定义了新的矩阵两尺度相似逆变换（ITST）,其次,得到了当0是变换矩阵M（0）的非退化特征值时的逼近阶,最后给出了数值算例.     

QPAAS：一种在线多数据流自适应分段算法

数据流分段是数据流处理技术的基本任务，然而，它在多数据流环境下并不是一个小问题。该文提出了一个高效算法（即QPAAS算法），它能实时处理多个数据流分段。该算法利用了PAA技术中的增量计算特性，能快速处理单个数据流分段。为了处理多个数据流，它索引所有数据流的当前分段到一颗B^＋树中，这样算法即可实时分段多个数据流。在真实的数据流上的多个实验表明，QPAAS算法有效而高效，仅具有线性时间和空间复杂度。而且，它比传统的PAA分段算法快几个数量级。     

CONTINUOUS-TIME KIEFER-WOLFOWITZ ALGORITHM WITH RANDOMIZED DIFFERENCES

1.IntroductionTheKiefer-Wolfowitz(KW)algorithmisusedtosequeotiallysearchtheextremumofafUnction,onthebasisofthenoisecontaminatedobservationsofthefunction.AssumetheunknownauctionH:ac-Rhasauniquemaximumatxo.ItiswellknownthattheclassicalKWalgorithmneedsZmobserVationsofH(see[1])forupdatingtheestimateofxoateachiteration.Itisrathertime-consumingifthedimensionmisverylarge,somanyresearchersmanagedtoreducethenumberofmeasurementsneededateachstep.Recently,Spalll2]proposedanalgorithmwithrandomizeddif…     

一维色噪声系统的定态几率分布

分析了一维线性色噪声系统， 讨论了噪声参数对系统定态几率分布的影响理论分析和数值计算表明， 内插函数近似方法可在很宽的范围内讨论色噪声系统问题     

多面体逼近在保序回归问题中的应用

研究了多面体最佳逼近算法在保序回归中的应用.对于多种广义保序回归及多维保序回归问题的求解,给出了较已往便捷精确的算法;并解决了含两个独立变量的保序回归的算法问题.     

关于方程x^2—D=p^n的解数

设Ｄ为正整数，ｐ为适合ｐＤ的奇素数．作者用Ｂａｋｅｒ有效方法证明了：若（Ｄ，ｐ）≠（ｐｍ－ε４ａ）２－ｐｍ，４ａ２＋ｍ，４ａ２＋ε），ε＝±１，且ｍａｘ（Ｄ，ｐ）≥１０３２，则方程ｘ２－Ｄ＝ｐｎ至多有三组正整数解（ｘ，ｎ）．     

二维Volterra积分方程迭代配置解的多重校正

讨论了二维Volterra 积分方程迭代配置方法,并研究了一种校正格式.对拟一致网格和任意的配置参数,证明了相应的整体多重校正估计.