Mathematical Sciences: Input/Output Equations and Nonlinear Realizability

本课题将研究非线性可实现性与投入产出方程的存在性之间的关系。这将包括非奇异有理系统的可实现性，分析可实现性，高效算法，以及可实现性与积分输入输出方程之间的关系。从代数几何和微分几何借鉴的技术将经常被使用。这些研究解决了机械、电气和生物系统控制建模中的基本问题。

This project will study the relations between nonlinear realizability and the existence of input-output equations. This will include realizability by nonsingular rational systems, analytic realizability, efficient algorithms, and relationships between realizability and integral input-output equations. Techniques borrowed from algebraic and differential geometry will be often used. These studies address fundamental questions in the modeling of control of mechanical, electrical, and biological systems.