离散时滞线性凸多面体系统族的鲁棒正不变集

动态系统的状态约束和控制约束等问题可归结为状态空问中某些集合的正不变性,这样系统族的线性状态约束问题为研究系统族的动态行为提供了一条新的途径．本文利用混合单调分解方法来研究离散时滞线性凸多面体系统族的线性状态约束集合的鲁棒正不变性．对由矩阵凸多面体和区间扰动所描述的离散时滞线性时变系统族,得到了鲁棒正不变集的充分必要条件,并给出了证明以及两个推论．且这些条件均由系统族的两个顶点描述,易于检验．     

Application of AUSMPW scheme based on adaptive algorithm of multiwavelets in two dimensional flow field

In this paper,the AUSMPW scheme based on adaptive algorithm of multi-wavelets is presented to solve two dimensional Euler equations.This scheme based on the original AUSMPW scheme uses the multiwavelets for multi-level decomposition of the function and uses the method of the valve’s value to construct adaptive grid to improve AUSMPW scheme.The obtained press and density have beed compared with those of results calculated by original AUSMPW scheme and WENO scheme.The numerical results demonstrate that this method has higher resolution.