# 单位分解 的英文

###### 英文翻译手机版
• partition of unity
• resolution of the identity
###### 例句与用法
• Meshless numerical manifold method based on unit partition
基于单位分解法的无网格数值流形方法
• 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。
• By employing the potential function , we construct the unit partition on differential manifold . and then , by regarding the curve and surface as a map from differential manifold to topological manifold , we present the framework of grpcs and discussed its basic properties in detail
然后通过势函数来构造微分流形上的单位分解，将曲线曲面看作微分流形到拓扑流形的映射，给出了广义有理参数曲线曲面的整体理论框架，并对广义有理参数曲线曲面的基本性质进行了讨论。
• 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。