Title :
An overview of recent results on the parametric approach to robust stability
Author :
Polis, Michael P. ; Olbrot, Andrzej W. ; Fu, Minyue
Author_Institution :
Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA
Abstract :
A discussion is presented of results relating to the parametric approach to robust stability. The general problem of robust stability is defined, and a review of Kharitonov-type and edge theorems, zero exclusion results, interval matrix stability, maximal perturbation bounds, multilinear and nonlinear perturbations, time delay systems, and numerical/graphical approaches is presented. Some open research directions are indicated, and the future of the approach is discussed
Keywords :
stability; Kharitonov-type theorems; edge theorems; interval matrix stability; maximal perturbation bounds; multilinear perturbations; nonlinear perturbations; parametric approach; robust stability; time delay systems; zero exclusion results; Computer science; Control systems; Delay effects; Frequency domain analysis; Mathematical model; Open loop systems; Robust stability; Testing; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70067
