Mathematical Sciences: Control System Governed by Partial Differential Equations with Applications to Large Flexible Structures

将为专门讨论偏微分方程控制系统以及将该理论应用于大型柔性结构的控制和稳定的讲习班提供支助。目前，人们对大型柔性结构的控制非常感兴趣，因为有许多这样的结构需要主动控制才能获得可接受的性能。这些包括机器人的灵活手臂、大型通信和情报卫星、轨道平台和发电站，以及载人空间站。它们通常是高度灵活的，由大量端到端以链的形式连接在一起的梁状单元组成，组件由大型常微分方程组和偏微分方程组进行数学建模。拟议的讲习班的主要目的是确定柔性结构控制方面的基本问题是什么，PDE技术在这些问题上的应用现状如何，这一研究领域的方向是什么，以及它应该向哪里发展。

Support will be provided for a workshop devoted to control systems governed by partial differential equations and application of the theory to control and stabilization of large, flexible structures. There is currently great interest in control of large flexible structures because of the number of such structures requiring active control for acceptable performance. These include flexible arms of robots, large communication and intelligence satellites, orbiting platforms and power stations, and manned space stations. They are typically highly flexible, consisting of a large number of beam-like elements coupled together end-to-end in the form of a chain, with components mathematically modeled by large systems of ordinary and partial differential equations. The main purpose of the proposed workshop is to determine what the basic problems are in the control of flexible structures, what the current state of affairs in the application of pde techniques to these problems is, where this area of research is heading, and where should it be going.