基于系数的二阶线性时变系统镇定条件

针对实际应用中Lyapunov函数不易选择,且随输入量的变化具有不定性的问题,利用积分不等式研究了二阶线性时变系统的镇定条件,给出了利用系数和输入量直接判定该函数稳定性的若干结论.经实例验证,这些结论的应用简单、有效.     

United Nations Security Council reform and the dilemmas of African continental integration

This article analyses the disunity among African states in terms of United Nations Security Council (UNSC) reform, and attributes it to the contest between South Africa and Nigeria. These two countries have been locked in a hegemonic contest for continental domination. To this end, the article notes that African unity, not in terms of protocol but on the basis of principles and cooperation, is sacrosanct in order for the African Union to make a significant contribution to the reform of the UNSC. It is asserted that the contest between South Africa and Nigeria has been symbolised by the continental leadership aspirations of the heads of state of both countries, and recommends that it be tamed through forging diplomatic and strategic partnerships between the ruling parties of these two countries. The influence of external actors on the African countries, particularly that of France, is underscored as a contributing factor in stalling the debate on the UNSC reform. It recommends that South Africa use its strategic partnership within the association of Brazil, Russia, India, China and South Africa (BRICS), particularly Russia and China as permanent members of the UNSC, to influence the realisation of the reform debate.     

Military Expenditures,Income Inequality,Welfare and Political Regimes: A Dynamic Panel Data Analysis

The goal of this paper is to investigate the relationship between type of welfare regimes and military expenditures. There is a sizeable empirical literature on the development of the welfare state and on the typology of the welfare regimes. There appear to be, however, no empirical studies that examine welfare regimes with special attention to military spending. This study aims at providing a comprehensive analysis on the topic by considering several different welfare regime typologies. To do so, we use dynamic panel data analysis for 37 countries for the period of 1988–2003 by considering a wide range of control variables such as inequality measures, number of terrorist events, and size of the armed forces. We also replicate the same analyses for the political regimes. Our findings, in line with the literature, show that there is a positive relationship between income inequality and share of military expenditures in the central government budget, and that the number of terrorist events is a significant factor that affects both the level of military expenditure and inequality. Also, the paper reveals a significant negative relationship between social democratic welfare regimes and military expenditures.     

离散系统的绝对稳定性

给出了离散系统绝对稳定性问题的充分条件:约束条件下的矩阵不等式的正定解;基于这一思路可以构造控制器来镇定一类非线性系统;最后还给出了设计实例以说明结果的有效性。     

导弹自动驾驶仪控制算法鲁棒性研究

以某型轴对称导弹为研究对象,在解耦和线性化的情况下,得到简化的数学模型。通过求解线性矩阵不等式(LMI)设计了状态反馈H∞控制导弹自动驾驶仪,采用模糊和变论域理论设计了变论域模糊PID控制自动驾驶仪。考虑飞行过程中的干扰、气动参数摄动,对两种自动驾驶仪的控制性能进行对比研究,仿真结果表明,二者皆能实现对导弹制导指令的有效跟踪,其中状态反馈H∞控制设计的自动驾驶仪在指令跟踪的快速性、准确性和抗干扰性上具有明显的优越性。     

论证一类不等式问题 展示数学发现的方法

通过对一个不等式的加强和完善,探求出推广这一类问题的途径,解决了一类不等式问题。     

Defence Spending and Income Inequality in Taiwan

The rising trend in income inequality has recently attracted a renewed interest in the determinants of this growing trend across many countries. This article adds to the debate by investigating the impact of defence expenditure as a possible determinant of inequality in Taiwan, a country once was considered to be a poster child of an equitable growth, but now income inequality has become one of the Taiwan’s growing challenges. Applying the bounds test approach to cointegration and four long-run estimators for the period from 1976–2011, we found a long-run relationship between the various measures of inequality and defence expenditure where defence expenditure exerts a positive and a statistically significant impact on the worse income inequality in Taiwan. Further application of the lag-augmented causality test procedure also reveals a unidirectional causality running from defence expenditure to income inequality with defence expenditure causing income inequality to rise.     

超凸度量空间中KKM理论的一些应用

在超凸度量空间利用广义度量KKM映象原理的特性得到一类新的广义极大极小不等式,并进一步借助这类极大极小不等式,在更广泛的条件下,获得鞍点问题的一个新的存在性结果。     

一类极点指标与方差指标约束的满意控制

在将极点配置到关于实轴对称的凸多边形区域时 ,总可以用线性矩阵不等式来描述 ,于是对具有状态稳态方差指标、区域极点指标约束的状态反馈系统 ,可以利用 Matlab- L MI工具箱进行求解反馈增益 ,其仿真结果对结论作了说明。     

控制不等式的改进

讨论了随机过程控制关系产生的不等式,对这个不等式给出了一个新系数,改进了以前的结果,并将其应用于局部平方可积鞅.