Intelligent Simulation Methods for Dynamical Systems

本项目研究了新的计算方法，用于原型物理系统， 动力学行为，预期的应用在设计和控制工程。 它 开发了一个计算环境， 物理系统的动力学通过数字和符号的结合 计算。 具体而言，本项目研究（1）自动化 通过解析和几何分析表征动力系统， 交互式合成、优化和可视化技术 例如，"计算剪刀"， 矢量场和形状所需的动态特性（例如稳定区域） 对于一个复杂的系统，否则很难设计。

This project investigates new computational methods for prototyping physical systems with desired dynamical behaviors, with expected applications in design and control engineering. It develops a computational environment for visualizing and manipulating dynamics of physical systems through a combination of numerical and symbolic computations. More specifically, this project studies (1) automated characterization of dynamical systems through analytic and geometric analysis, and (2) techniques for interactive synthesis, optimization, and visualization of dynamics, for example, ``computational scissors'' that cut-and-paste vector fields and shape the desired dynamical properties (e.g. stability regions) for a complex system that is otherwise difficult to design.