Approximation property of partition of unity and its applications
Yinhe WANG
Zhiyuan LI
Siying ZHANG
摘要：The linear combination of certain partition of unity,subordinate to certain open covering of a compact set,is proved to be capable of approximating to a continuous function at arbitrarily precision.By using proper open covering and partition of unity,the robust nonlinear controllers and adaptive laws are designed for a class of nonlinear systems with uncertainties.The states and parameters of the closed-loop systems can be stabilized in the meaning of UUB (uniformly ultimately bounded) via the robust nonlinear controllers and adaptive laws.Finally,an example shows the validity of method in this paper.
机标关键词：partition of unityadaptive lawscontinuous functionlinear combinationnonlinear systems
分类号：O1(数学)
资助基金：国家自然科学基金(032035)内蒙古自然科学基金(200208020201)
论文发表日期：2004-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：9( 267-275 )
英文信息