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Mathematical Sciences: Exchange Program with St. Petersburg State University; Harmonic Analysis and Control of Linear Partial Differential Eq'ns

数学科学：与圣彼得堡国立大学交换项目；

基本信息

批准号：
9501036
负责人：
David Russell
金额：
$ 2万
依托单位：
Virginia Polytechnic Institute and State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1995
资助国家：
美国
起止时间：
1995-06-15 至 1999-05-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9501036&HistoricalAwards=false
关键词：
Mathematical Sciences Exchange Program St.

项目摘要

9501036 Russell This project will support a joint exchange program involving Virginia Polytechnic Institute and State University, University of Maryland, Baltimore County and St. Petersburg State University in Russia. The purpose of this exchange program is to allow the participants to explore deep interconnections between theoretical developments in nonharmonic Fourier series and potential applications in the control, estimation and identification theory of distributed parameter systems. The fact that most recent advances in the theory of nonharmonic Fourier series have taken place in Russia and the former Soviet Union, while applications have enjoyed dramatic advances in the United States, makes this exchange program particularly timely. The program envisages five separate visits, two on the part of United States participants to Russia and three involving Russian visitors to the United States. The use of nonharmonic Fourier series methods in control, estimation and identification of distributed parameter systems, which dates back at least to 1963, is now of increasing importance because of sophisticated non- invasive state estimation techniques required for newly sophisticated advanced materials production and processing. Nonharmonic Fourier series techniques allow estimates of the interior state of a process to be generated from externally collected data on temperatures, concentrations, etc., without the need for invasive internal probing potentially interfering with the process.

9501036 Russell 该项目将支持弗吉尼亚理工学院和州立大学、马里兰大学巴尔的摩县分校和俄罗斯圣彼得堡国立大学的联合交流项目。该交流项目的目的是让参与者探索非调和傅里叶级数的理论发展与分布参数系统的控制、估计和识别理论的潜在应用之间的深层互连。非调和傅里叶级数理论的最新进展发生在俄罗斯和前苏联，而其应用在美国也取得了巨大进展，这一事实使得本次交流计划显得尤为及时。该计划设想进行五次单独的访问，其中两次是美国参与者对俄罗斯的访问，三次是俄罗斯游客对美国的访问。非调和傅里叶级数方法在分布参数系统的控制、估计和识别中的使用至少可以追溯到 1963 年，现在由于新的复杂先进材料生产和加工需要复杂的非侵入性状态估计技术而变得越来越重要。非谐波傅里叶级数技术允许根据外部收集的温度、浓度等数据生成过程的内部状态估计，而不需要可能干扰过程的侵入式内部探测。