Title :
When is the image of a multilinear function a polytope?-A conjecture
Author :
Hollot, C.V. ; Xu, Zhong-Ling
Author_Institution :
Dept. of Electr. & Comput. Eng. & Math., Massachusetts Univ., Amherst, MA, USA
Abstract :
The authors make a conjecture concerning the possibility of the image of a multilinear function over a rectangle being a polytope. If true, this result would be useful in robust control problems and provide a complement to the mapping theorem of L.A. Zadeh and C.A. Desoer (Linear Systems Theory, 1963)
Keywords :
polynomials; stability; function image; mapping theorem; multilinear function; polynomials; polytope; rectangle; robust control; stability; Image segmentation; Mathematics; Polynomials; Robust control; Robust stability; Shape; Sufficient conditions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70489
