Research Initiation Award: Numerical Methods for Control System Design Involving Large Dimensional Systems

数值方法的计算良好的低阶模型，控制器，和状态估计器为大维系统将做。本研究有两个主要目标：1。发展计算这些李雅普诺夫方程和里卡蒂方程系统精确解的数值方法；开发快速的数值算法，计算这些方程组的解的良好估计，而不需要首先求解精确解。

Numerical methods for the computation of good low order models, controllers, and state estimators for large dimensional systems will be done Pored. This research has two primary objectives: 1. To develop numerical methods that compute the exact solution(s) of these systems of lyapunov and Riccati equations, and 2. To develop fast numerical algorithms that compute good estimates of the solutions these systems of equations without first solving for the exact solutions.