Title :
A class of multilinear uncertain polynomials to which the Edge theorem is applicable
Author :
Chen, Weining ; Petersen, Ian R.
Author_Institution :
Dept. of Electr. Eng., Australian Defence Force Acad., Canberra, ACT, Australia
Abstract :
This paper gives a class of multilinear uncertain polynomials to which the Edge theorem is applicable. In the paper, a notion of “symmetric uncertainty structure” is introduced. The main result is as follows: if a multilinear uncertain polynomial has a symmetric uncertainty structure and the uncertain parameters are non-negative and non-overlapping, then the corresponding value sets will be convex polygons. From this, it follows that a version of the Edge theorem can be used to test robust stability
Keywords :
polynomials; stability; stability criteria; uncertain systems; Edge theorem; convex polygons; multilinear uncertain polynomials; robust stability; symmetric uncertainty structure; uncertain parameters; Australia Council; Polynomials; Robust control; Robust stability; Robustness; Sufficient conditions; Testing; Uncertainty;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410991
