权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

U.S.-Austria Cooperative Research on Control and Inverse Problems in Partial Differential Equations

美奥偏微分方程控制与反问题合作研究

基本信息

批准号：
9015007
负责人：
H. Thomas Banks
金额：
$ 1.11万
依托单位：
University of Southern California
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
1991
资助国家：
美国
起止时间：
1991-04-01 至 1994-09-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=9015007&HistoricalAwards=false
关键词：
U.S.Austria Cooperative Research Control

项目摘要

This award supports Professors H. T. Banks, K. Ito and C. Wang of the University of Southern California to continue their collaboration in applied mathematics research with Professor F. Kappel and others of the University of Graz and K. Kunisch of the Technical University of Graz, Austria. They share interests in control theory that focus on the problems of estimating parameters in partial differential equations from known observation of a given process and also the approximation of functional and partial differential equations stressing applications to control and inverse problems. The specific topics on which they will work include modeling and parameter estimation techniques in size/age structured population models, the identifiability of parameters in models of visco-elastic systems, and the development of an approximation framework for nonlinear dynamics in a Banach space setting. These U.S. and Austrian mathematicians have been among the leaders in the development of methods and applications in a wide variety of problems in optimization, approximation and parameter estimation for functional and partial differential equations. Their productive collaboration has already resulted in numerous publications containing applications to meaningful physical and biological problems. The proposed work promises to continue this contribution by focusing on technically interesting problems with relevance to mechanics and population dynamics.

该奖项支持H教授。t.班克斯，K。Ito和C.王南加州大学继续他们的在应用数学研究与F教授合作。格拉兹大学的卡佩尔等人和K.库尼施奥地利格拉兹技术大学。他们有共同的利益在控制理论中，偏微分方程中的参数对给定过程的观察以及对泛函偏微分方程应用于控制和逆问题。具体他们将工作的主题包括建模和参数大小/年龄结构人口模型中的估计技术，粘弹性模型参数的可辨识性系统，并制定一个近似框架， Banach空间中的非线性动力学。这些美国和奥地利的数学家在方法和应用的发展中处于领先地位，各种各样的问题，在优化，近似和泛函偏微分参数估计方程他们富有成效的合作已经产生了在许多出版物中，生理和生物问题。拟议工作承诺继续这一贡献，与力学和人口相关的有趣问题动力学