partition of unity meaning in English
单位分解
Examples
- Focusing on a class of more general uncertain complex systems , using the concept of partition of unity in differential geometry to deal with system uncertainties , a new method for designing the decentralized adaptive robust controller was proposed
摘要针对一类较为一般的不确定复杂系统，提出利用微分几何中单位分解的概念处理复杂系统中的不确定性，完成鲁棒控制器设计的新方法。 - In the new method the uncertainty of the system to be controlled is normalized firstly , and then the partition of unity that is subordinated to a open covering of state variables compact set is constructed , and the approximation is realized by using its property that can approximate nonlinear continuous function with arbitrary precision , then the decentralized adaptive robust controller of complex systems and adaptive laws of approximate parameter estimation are designed
该方法首先对被控系统中的不确定性进行归一化处理，进而构造出从属于状态变量的紧致域的一组开覆盖的单位分解，利用其具有以任意精度逼近非线性连续函数的性质，实现了对被控系统不确定性的近似逼近，然后设计了复杂系统的分散鲁棒控制器和参数估计的自适应律，并证明了这种控制器使被控系统的状态及参数估计误差一致终极有界。 - The collection of all ect splines of order n forms a linear space called a space of ect splines , over which if each connection matrix is nonsingular , lower triangular and totally positive , there exist ect b splines having nonnegative , form a partition of unity , and minimal compact supports
若每个关联矩阵都是非奇异、下三角、全正的矩阵,则在ect样条空间上存在非负的、归一的和具有最小支撑的ectb样条.由ectb样条拓广的ectb样条曲线有许多类似于多项式b样条曲线的性质