Mathematical Sciences: Systems Theory, Transfer Functions and Geometry

首席研究员建议解决问题 时不变动态补偿极点配置 线性控制系统 一个目标是找到足够的， 具有真实的极点配置图的几乎必要条件 动态补偿器上，给出精确的界限， 最小阶真实的补偿器。 另一个是研究各种 与多变量空间有关的拓扑问题 具有固定McMillan度的线性系统，导致 物理自然紧化的比较分析。 极点配置问题是线性系统的基本问题 理论 线性系统在许多应用中仍然很重要 situations.

The principal investigator proposes to address the problem of pole placement by dynamic compensation for time-invariant linear control systems. One goal is to find sufficient and almost necessary conditions for the pole placemnt map with real dynamic compensators tobe onto, giving exact bounds for the minimal order real compensator. Another is to study various topological questions related to the space of multivariable linear systems with a fixed McMillan degree leading to a comparative analysis of physically natural compactifications. The pole placement problem is fundamental in linear systems theory. Linear systems remain important in many applied situations.