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与几何方法控制理论在科学和工程的各个领域有着广泛的应用，并激发了许多新思想和新方法的发展。在过去的三十年中，研究最优控制和非线性控制问题的两个重要研究方向是所谓的“微分几何”和“变分”方法。在过去的十年中，许多研究人员将这两种方法结合在一起研究稳定和最优控制。该奖项为参加由电气和电子工程师协会（IEEE）第41届决策与控制会议（CDC）提供的关于这些技术的特别会议的参与者提供旅费。会议将汇集在这一新兴领域工作的美国和外国研究人员。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、半确定优化、多目标优化控制、半导体设计和近似等领域的各种应用。讨论将促进思想交流和合作研究，并有助于确定在工业和其他相关领域具有重要潜在应用的研究方向。

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.