Title :
A necessary and sufficient condition for the positivity of a polynomial in several real variables described over a hyperrectangle
Author :
Yedavalli, Rama K.
Author_Institution :
Dept. of Aeronaut. & Astronaut. Eng., Ohio State Univ., Columbus, OH, USA
Abstract :
A necessary and sufficient condition for the positivity of a polynomial in two real variables described over a square is given. This result can be generalized to the case of several variables. The result plays a critical role in the development of necessary and sufficient conditions for the robust stability of interval parameter matrices and polynomials
Keywords :
polynomials; stability criteria; hyperrectangle; interval parameter matrices; necessary and sufficient condition; polynomial positivity; robust stability conditions; Aerospace engineering; Equations; Polynomials; Robust stability; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70484
