Applied nonsmooth analysis

应用非光滑分析

• 批准号: 9441-2007
• 负责人: Loewen, Philip
• 金额: $ 1.39万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=450491
• 关键词: Applied; nonsmooth; analysis

Recent developments in analysis and electronic technology have opened many new theoretical and computational possibilities under the broad heading of optimization. This research deals primarily with Dynamic Optimization, in which complicated processes governed by differential equations or difference equations are to be influenced in the best possible way through a suitable choice of a function--not just a number or a finite collection of numbers. Professor Loewen will be building new theoretical foundations, algorithms, and software to address these issues. His focus will be on the advantages that recent developments in convex analysis make available to modern theory and practice. Industrial relevance is of prime importance in this project.

分析和电子技术的最新发展在最优化的大标题下开辟了许多新的理论和计算可能性。本研究主要涉及动态优化，其中由微分方程或差分方程控制的复杂过程将通过适当选择函数以最佳方式受到影响-而不仅仅是一个数字或有限的数字集合。Loewen教授将建立新的理论基础，算法和软件来解决这些问题。他的重点将是凸分析的最新发展提供给现代理论和实践的优势。在这个项目中，工业相关性是最重要的。