Mathematical Sciences: Robust Stability and Sensitivity of Input-Output Systems

这个项目将考虑一般输入输出系统的鲁棒稳定性和灵敏度，这些系统不一定具有反馈系统的结构。假设这样的系统由与输入、状态和输出相关的算子方程支配，并且依赖于一个参数。具体地，这样的或参数可以是系统块的传输操作符。该项目的研究结果将完善现有的理论，并为非线性系统的设计提供有用的工具。这些技术足够普遍，可以应用于机械、电气和化学系统。

This project will consider robust stability and sensitivity of general input-output systems that do not necessarily have the structure of a feedback system. It is assumed that such systems are governed by operator equations which relate the input, the state and the output, and which depend on a parameter. In particular such or parameter can be the transmission operator of a system block. Results from this project will improve available theory, and furnish useful tools for the design of nonlinear systems. The techniques are general enough to apply to mechanical, electrical, and chemical systems.