关于广义分散控制系统无穷远固定模的进一步研究

目前,广义系统的研究已成为控制理论的一个相当活跃的分支.在一些实际系统中,系统不仅具有广义性的特点,而且具有分散性的特点.基于广义系统的这种特点,最近中国科学院的王朝珠、王恩平研究了广义分散控制系统,[1]提出并研究了广义分散控制系统的无穷远固定模,得出了许多出色的结论.本文继续[1]的工作.本文的结论揭示了广义系统无穷远固定模与正常系统分散固定模的内在联系,进而表明一切用来判别分散控制系统固定模的方法均可相应地适用于广义系统无穷远固定模.     

一类脉冲微分系统的有界变差解

在比文[6]更弱的条件下讨论了固定时刻脉冲微分系统与Kurzweil广义常微分方程的关系，并建立了这类脉冲微分系统有界变差解的局部存在性和唯一性定理．     

带脉冲模的广义线性系统的二次最优控制

广义线性系统的二次最优控制问题是人们普遍关注的研究课题.虽有不少讨论,但都有不尽人意之处.例如,有人先将广义系统正常化后再讨论其最优控制,这样就回到了正常线性系统的已知结果;有人把一部分状态作为控制变量来求解,因此,这种控制方式实际上是不能实现的.在[1]中,我们曾讨论过无脉冲模的广义线性系统二次最优控制问题,给出了(x~*,u~*)为最优解的充要条件.由于没有涉及到脉冲模的存在,因此     

一类脉冲微分系统有界变差解对参数的连续依赖性

文[6]讨论了比已有结果更弱的假设条件下,固定时刻一阶脉冲微分系统与Kurzweil广义常微．分方程的关系,本文在此基础之上,建立了此类脉冲微分系统有界变差解对参数的连续依赖性定理．     

多项式环上模的Noether深度

本文讨论了 R 模 M_R 在其多项式环 R[x]上导出模 M[x]_(R[x])的 Noether深度.证明了对任意右 R 模 M_R,M[x]_(R[z])的 Noether 深度等于 M_R 的 Noe-ther 深度.     

F.P.—维数的合冲定理

1984年,Ho Kuen Ng在[1]中给出了交换环与模的有限表现维数(简称为F.P.—维数)的定义及若干有意义的重要结果.从此,有限表现性的讨论成为环论的热门课题之一.作者在[2]中将有限表现维数推广到非交换环上.并利用有限表现维数刻划了凝聚环,在[3]中讨论了有限表现维数的换环定理.在[4]中讨论了笛卡尔方形上的有限表现维数.丁南庆在[5]中推广了有限表现维数,给出了一种新维数——模的有限生成维数,在[6]中讨论了有限表现模的对偶     

正则环与YJ-内射性

文献 [1]中 ,Ming.R.Y.C引进了 YJ 内射模的概念 ,且指出正则环上的每个模均是 YJ 内射模 ,那么反之如何呢 ?文 [1]中做了一些结果 ,本文拟就这个问题作进一步讨论 .     

一个混合元的最优最大模估计及超收敛估计

本文用[4]的混合元法求解二阶椭圆型方程误差的最优最大模估计.讨论的方法适用于Raviart-Thomas元,从而改进了[16],[17]的结果,达到最优.此外,还得到一个超收敛结果,并且对[1],[4]中提出的修正过程进行最大模分析,结果都是最优的.     

交换环上线性系统的多项式模理论

引言 在线性系统理论中,R.Kalman[1]首先应用模论研究域上线性系统。后来Fuhrmann在这一方向上做了重大发展,创造了域上线性系统的多项式模理论和方法。近年来,Fuhrmann的方法进一步被用于研究各种控制理论问题。 本文借助于[7]中引入的周期性,对交换环上线性系统建立类似于域上线性系统的多项式模理论。并在此基础上讨论传递函数阵的分解与实现问题。     

关于两参数Gauss过程的增量

本文讨论一类两参数Gauss过程{X(x,y):x≥0,y>0},对固定x,它是一参数Wiener过程,对固定y,它是具平稳增量Gauss过程。把Gsrg-Révész等在[1]中关于两参数Wiener过程的连续模及有关定理如1.14.2,S.1.14.2推广到这一类过程上,并作了进一步讨论。     

授权制造下碳交易对制造/再制造影响及协调机制研究

在授权制造下,为分析碳交易对制造/再制造供应链影响和研究供应链协调机制,基于授权制造分别构建由一个原始制造商和一个再制造商参与的分散决策博弈模型和集中决策博弈模型,对比分析政府碳交易政策对两种决策模式最优解影响,并针对制造商分散决策导致的边际损失问题,给出固定授权费的协调机制。研究主要得到:无论分散决策还是集中决策,当碳交易价格大于某一阈值时,碳交易不仅可以降低两种产品对环境的影响,还增加消费者剩余;分散决策时,在碳交易下原始制造商可以通过降低单位授权再制造费用来增加利润;原始制造商和再制造商可以签订固定授权费的契约来协调供应链利润。     

基于共同配送的快递企业末端服务网点定价博弈研究

在末端共同配送背景下,以快递共配联盟为研究对象,建立了分散决策和集中决策的定价博弈模型。对分散决策情景考虑了固定支付、按件支付、收益共享、服务水平补偿、收益共享与成本共担五种不同的利润分配方法。在构建模型时,考虑了快递员提成比例、同行竞争、服务水平、宣传水平对需求和成本的影响,给出了快递企业与合作企业的最佳决策。最后,分析在不同模式下联盟的服务水平、价格、利润变化。结果显示,集中决策下联盟的总利润最高,分散决策下使用收益共享与成本共担模式最佳。     

A two-period supply contract model for a decentralized assembly system

Supply contract helps in coordinating the supply of quantities from different suppliers in order to meet the demand for a product. In this paper, supply contract models are developed by considering an assembly system operated under a centralized and a decentralized control modes. The centralized control mode considers a single decision maker and offers a global optimal solution. However, the decentralized control mode considers each player in the contract as a decision maker and offers local optimal solutions based on the production and cost characteristics of each player. Such local optimal solutions are adjusted through coordinating parameters to obtain global optimal solutions. If a contract developed for a decentralized control mode achieves the global optimal solution, then the supply chain (or channel) is said to be coordinated.     

广义分散控制系统的无穷远固定模

在控制系统的理论与应用研究中,广义系统、分散系统越来越受到人们的重视.不仅在理论上已有不少有意义的结果,而且这些理论研究有明显的实际背景.例如 Leontief的动态投入产出模型,Leslie 的人口增长模型,电力系统等.然而,在一些实际系统中,系统不仅具有广义性的特点,而且从控制角度来看也具有分散性的特点.因此我们把系统     

CONSENSUS OF THE SECOND-ORDER MULTI-AGENT SYSTEMS WITH AN ACTIVE LEADER AND COUPLING TIME DELAY

This article investigates the consensus problem of the second-order multi-agent systems with an active leader and coupling time delay in direct graph. One decentralized state control rule is constructed for each agent to track the active leader and it is proved that the proposed control scheme enables the consensus to be obtained when the adjacency topology is fixed/switched. Simulation results show effectiveness of the proposed theoretical analysis.     

Consensus of the second-order multi-agent systems with an active leader and coupling time delay

This article investigates the consensus problem of the second-order multi-agent systems with an active leader and coupling time delay in direct graph. One decentralized state control rule is constructed for each agent to track the active leader and it is proved that the proposed control scheme enables the consensus to be obtained when the adjacency topology is fixed/switched. Simulation results show effectiveness of the proposed theoretical analysis.     

分散控制对供需网节点的影响研究——复杂性的观点

供应链作为供需网的一个节点,传统在对供需系统研究上,往往假设存在一个全局控制中心,通过对系统的整体控制,达到系统的稳定均衡;但当所处理事物是复杂的,决策分散在系统各结点中,势必会影响到传统对系统的描述。在传统供应链研究模型的基础上,引入逆向回流收益分享,并构建加入未销售产品处理收益的供应链收入共享模型,推导认为在分散决策下供应链系统并不能总是最优;进一步,通过对契约模型的差分化,求解不动点,并通过Simulink编程数值计算,分析得出受决策周期的影响,系统均衡点并不容易达到,随着初值参数的改变,系统甚至出现浑沌。由此,探讨了基于复杂性下分散控制对当前管理现象认知及研究的意义。     

On the resolution of certain discrete univariate max–min problems

Graph coloring is a classical NP-hard combinatorial optimization problem with many practical applications. A broad range of heuristic methods exist for tackling the graph coloring problem: from fast greedy algorithms to more time-consuming metaheuristics. Although the latter produce better results in terms of minimizing the number of colors, the former are widely employed due to their simplicity. These heuristic methods are centralized since they operate by using complete knowledge of the graph. However, in real-world environmets where each component only interacts with a limited number of other components, the only option is to apply decentralized methods. This paper explores a novel and simple algorithm for decentralized graph coloring that uses a fixed number of colors and iteratively reduces the edge conflicts in the graph. We experimentally demonstrate that, for most of the tested instances, the new algorithm outperforms a recent and very competitive algorithm for decentralized graph coloring in terms of coloring quality. In our experiments, the fixed number of colors used by the new algorithm is controlled in a centralized manner.     

Decentralized Reliable Control of Interconnected Time-Delay Systems Against Sensor Failures

In this paper, we study the problem of designing decentralized reliable feedback control methods under a class of control failures for a class of linear interconnected continuous-time systems having internal subsystem time-delays and additional time-delay couplings. These failures are described by a model that takes into consideration possible outages or partial failures in every single actuator of each decentralized controller. The decentralized control design is performed through two steps. First, a decentralized stabilizing reliable feedback control set is derived at the subsystem level through the construction of appropriate Lyapunov-Krasovskii functional and, second, a feasible linear matrix inequalities procedure is then established for the effective construction of the control set under different feedback schemes. Two schemes are considered: the first is based on state-measurement and the second utilizes static output-feedback. The decentralized feedback gains in both schemes are determined by convex optimization over linear matrix inequalities. We characterize decentralized linear matrix inequality-based feasibility conditions such that every local closed-loop subsystem of the linear interconnected delay system is delay-dependent robustly asymptotically stable with an γ-level ℒ₂-gain. The developed results are tested on a representative example.