Mathematical Sciences: Nonsmooth Analysis and Approximation Methods in Optimization and Control

数学科学：优化与控制中的非光滑分析和逼近方法

• 批准号: 9206989
• 负责人: Boris Mordukhovich
• 金额: $ 8.4万
• 依托单位: Wayne State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-07-01 至 1995-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9206989&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nonsmooth; Analysis; Approximation

The principal investigator will work on several problems in the areas of control theory, optimaization, nonsmooth analysis, and their applications. Effective qualitative and numerical methods for studying and solving complex problems in nonlinear optimization and control will be developed. Optimal control problems are useful as mathematical models in many areas of engineering and operations management. By better understanding their structure and properties, the gained insight will lead to improved numerical optimaization algorithms.

首席研究者将在控制理论，最佳化，非平滑分析及其应用方面解决一些问题。 将开发用于研究和解决非线性优化和控制中复杂问题的有效定性和数值方法。 最佳控制问题在工程和运营管理的许多领域中都是数学模型有用的。 通过更好地理解其结构和特性，获得的洞察力将导致改进的数值优化算法。