Travel Support: Variational Analysis and Geometric Methods in Optimal Control (Special Session of IEEE Conference on Decision and Control); Las Vegas, Nevada

数学科学：最优控制中的变分分析和几何方法朱控制理论在科学和工程的各个领域有着众多的应用，并激发了许多新思想和新方法的发展。 在过去的三十年里，在最优控制和非线性控制问题的研究中，两条重要的研究路线是所谓的“微分几何”和“变分”方法。 在过去的十年中，这两种方法已经被许多研究人员结合起来处理稳定和最优控制。 该奖项支持参与者在电气和电子工程师协会（IEEE）第41届决策和控制会议（CDC）提供的环境中参加专门研究这些技术的特别会议。 会议将汇集美国和外国研究人员在这个不断发展的领域工作。讲座将涉及几何方法，变分方法，以及在空气动力学，生物医学系统，半定优化，多目标最优控制，半导体设计和近似等领域的各种应用。 这些讨论将促进思想交流和合作研究，并将有助于确定在工业和其他相关领域具有重要应用潜力的研究方向。

NSF Award Abstract - DMS-0245279Mathematical Sciences: Variational Analysis and Geometric Methods in Optimal ControlAbstract0245279 ZhuControl theory has numerous applications in various fields of science and engineering, and has stimulated the development of many new ideas and methods. In the past thirty years, two important lines of research in the study of optimal control and nonlinear control problems have been the so-called "differential-geometric" and "variational" approaches. During the last decade, these two approaches have been brought together in work by many researchers dealing with stabilization and optimal control. This award supports travel for participants in a special cluster of sessions devoted to work on these techniques within the setting offered by the 41st Conference on Decision and Control (CDC) of the Institute of Electrical and Electronic Engineers (IEEE). The sessions will bring together American and foreign researchers working in this growing field. The lectures will deal with geometric methods, variational methods, and diverse applications in the areas of aerodynamics, biomedical systems, semi-definite optimization, multi-objective optimal control, semi-conductor design, and approximations. The discussions will facilitate the exchange of ideas and collaborative research and will help identify research directions with significant potential applications in industry and other related fields.