不确定连续系统稳定鲁棒性分析的代数方法

考虑线性连续时间系统在非结构式参数扰动下的稳定鲁棒性分析问题，该文提出一种新的有效的代数方法，由此导出可允扰动的范数上界，作为特例研究了含结构式参数扰动的不确定系统的稳定鲁棒生，并推广到双线性系统的情形。与已有结果相比，该文关于不确定性无需附加任何匹配条件。数值说明了该文分析方法的简单性与直接性。

An Algebraic Approach to Analysis of Stability Robustness for Uncertain Linear Systems

In this paper,the problem of analyzing the stability robustness is consideredfor linear continuous-time systems with unstructured parameter perturbations. A new,effective algebraic approach is proposed to derive the upper norm bound on the admissibledisturbance. The study of stability robustness for uncertain systems with structuredparameter perturbations is performed as a special case, and then the main results areextended to the bilinear systems. Compared with the existing results,the major feature ofthe present approach is that no matching conditions are needed for the uncertainty.Numerical example is provided to demonstrate the simplicity and directness of the analysismethod presented in this paper.