Mathematical Sciences: Functional Analysis and the Robust Control of Distributed and Nonlinear Systems

数学科学：泛函分析和分布式非线性系统的鲁棒控制

• 批准号: 8811084
• 负责人: Allen Tannenbaum
• 金额: $ 13.39万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-10-15 至 1994-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8811084&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Functional; Analysis; Robust

This project is mathematical research that has applications to the design of control systems. A variety of methods from functional analysis and operator theory will be brought to bear on problems involving matrix-valued analytic functions, in particular optimal supremum norm approximation by such functions and multivariable Nevanlinna - Pick interpolation problems. Results here are relevant to the computation of quantities which enable one to stabilize systems with parameter or modeling uncertainty while at the same time meeting certain performance specifications. Nonlinear as well as linear systems will be considered, with due attention to development of the underlying operator theory in the nonlinear case.

该项目是数学研究，可应用于控制系统的设计。 来自泛函分析和算子理论的各种方法将用于解决涉及矩阵值解析函数的问题，特别是此类函数的最优上范数逼近和多变量 Nevanlinna - Pick 插值问题。 这里的结果与量的计算相关，这些量使人们能够稳定具有参数或建模不确定性的系统，同时满足某些性能规格。 将考虑非线性和线性系统，并适当关注非线性情况下基础算子理论的发展。