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

9501036 罗素 该项目将支持涉及弗吉尼亚州的联合交流计划 理工学院和州立大学、马里兰州大学、 俄罗斯的巴尔的摩县和彼得堡州立大学。 的 这个交流项目的目的是让参与者探索 非调和理论发展之间的深层联系 傅里叶级数及其在控制、估计和 分布参数系统辨识理论 大多数 非调和傅里叶级数理论的最新进展 在俄罗斯和前苏联的地方，而应用程序 在美国享有戏剧性的进步， 节目特别及时。 该计划设想了五次单独的访问， 两名美国参与者前往俄罗斯， 俄罗斯游客到美国。 非调和傅里叶级数方法在控制、估计和 分布参数系统的识别，至少可以追溯到 1963年，由于新的复杂的非侵入性状态估计技术所需的复杂非侵入性状态估计技术， 先进材料生产加工。 非调和傅里叶级数 技术允许生成过程的内部状态的估计 从外部收集的关于温度、浓度等的数据，没有 侵入性内部探测的需要可能干扰 过程

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.