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本文主要证明了对于n阶二部有向图D,当最小度δ≥3,对任意同部顶点x,y,有min{|N+(x)∪N+(y)|,|N-(x)∪N-(y)|}≥(n+3)/4]时,D为极大局部边连通的;当最小度δ≥4,对任意同部顶点x,y,有min{|N+(x)∪N+(y)|,|N-(x)∪N-(y)|}>(n/4)+1时,D为超级局部边连通的。我们证明了条件的最好可能性及结果与原有结果的独立性。 相似文献
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最小生成树问题是运筹学网络优化中一个常见的基本问题.提出了一种新的求最小生成树的矩阵算法,此算法可以不必在原图上进行操作而得到最小生成树,过程简单易懂. 相似文献
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Receding horizon H∞ control scheme which can deal with both the H∞ disturbance attenuation and mean square stability is proposed for a class of discrete-time Markovian jump linear systems when minimizing a given quadratic performance criteria. First, a control law is established for jump systems based on pontryagin’s minimum principle and it can be constructed through numerical solution of iterative equations. The aim of this control strategy is to obtain an optimal control which can minimize the cost function under the worst disturbance at every sampling time. Due to the difficulty of the assurance of stability, then the above mentioned approach is improved by determining terminal weighting matrix which satisfies cost monotonicity condition. The control move which is calculated by using this type of terminal weighting matrix as boundary condition naturally guarantees the mean square stability of the closed-loop system. A sufficient condition for the existence of the terminal weighting matrix is presented in linear matrix inequality (LMI) form which can be solved efficiently by available software toolbox. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method. 相似文献
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Vegetation effects on mean daily maximum and minimum surface air temperatures over China 总被引:5,自引:0,他引:5
Changes in the daily maximum (Tmax) and minimum (Tmin) surface air temperatures and the associated temperature extremes have severe consequences on human society and the natural environment. In this study, we assess vegetation effects on mean Tmax and Tmin over China by computing a vegetation feedback parameter using the satellite-sensed Normalized Difference Vegetation Index (NDVI) and observed temperatures for the period 1982–2002. In all seasons, vegetation exerts a much stronger forcing on Tmax than on Tmin, and thus has a substantial effect on the diurnal temperature range (DTR) over China. Significant positive feedbacks on Tmax and the DTR occupy many areas of China with the feedback parameters exceeding 1°C (0.1 NDVI)–1, while significant negative effects only appear over the summertime climatic and ecological transition zone of northern China and some other isolated areas. Also, the vegetation feedbacks are found to vary with season. In areas where significant feedbacks occur, vegetation contributes to typically 10%–30% of the total variances in Tmax, Tmin, and the DTR. These findings suggest that vegetation memory offers the potential for improving monthly-to-seasonal forecasting of Tmax and Tmin, and the associated temperature extremes over China. Meanwhile, the limitations and uncertainties of the study should be recognized. 相似文献
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本文给出单变量三次函数是否存在极值的一种简便判别法,由稳定点个数来判别单变量三次函数是否存在极值,并求其极大(小)值。 相似文献
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从分析局域平衡理论框架内封闭热力学系统之熵产生与特性函数变率的关系入手,阐明了非平衡态的热力学特征,即非负耗散强度及非平衡线性区向最小耗散态演化的趋势,实际上是分别体现在热力学势的一阶及二阶变率层次上的状态演化方向。同时,提出了以巨势为基础的开放非平衡系热力学第二定律的表述形式,论证了在近平衡区与最小熵产生原理的等价关系。 相似文献