Abstract
The structured singular values and skewed structured singular values are the well-known mathematical quantities and bridge the gap between linear algebra and system theory. It is well-known fact that an exact computation of these quantities is NP-hard. The NP-hard nature of structured singular values and skewed structured singular values allow us to provide an estimations of lower and upper bounds which guarantee the stability and instability of feedback systems in control. In this paper, we present new results on the dual characterization of structured singular values and skewed structured singular values. The results on the estimation of upper bounds for these two quantities are also computed.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference24 articles.
1. Analysis of feedback systems with structured uncertainties
2. Stability margins of diagonally perturbed multivariable feedback systems
3. Real and complex stability radii: A survey;Hinrichsen,1990
4. Asymptotic stability of an equilibrium position of a family of systems of linear differential equations;Kharitonov;Differ. Uraveniya,1978
5. New tools for robustness analysis;Barmish;Proceedings of the 27th IEEE Conference on Decision Control,1988
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献