Mathematical Sciences: Functional Analysis and the Robust Control of Distributed and Nonlinear Systems

这个项目是数学研究， 控制系统的设计。 各种方法从 功能分析和算子理论将承担 关于矩阵值解析函数的问题， 一类函数的特优上确界模逼近 和多变量Nevanlinna-Pick插值问题。 这里的结果与计算量有关， 使人们能够用参数或建模来稳定系统 不确定性，同时满足一定的性能 规范. 非线性系统和线性系统将 在充分注意基本发展的情况下， 非线性情况下的算子理论

This project is mathematical research that has applications to the design of control systems. A variety of methods from functional analysis and operator theory will be brought to bear on problems involving matrix-valued analytic functions, in particular optimal supremum norm approximation by such functions and multivariable Nevanlinna - Pick interpolation problems. Results here are relevant to the computation of quantities which enable one to stabilize systems with parameter or modeling uncertainty while at the same time meeting certain performance specifications. Nonlinear as well as linear systems will be considered, with due attention to development of the underlying operator theory in the nonlinear case.