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A necessary and sufficient condition for the positivity of a polynomial in several real variables described over a hyperrectangle

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1 Author(s)
Yedavalli, R.K. ; Dept. of Aeronaut. & Astronaut. Eng., Ohio State Univ., Columbus, OH, USA

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

Published in:

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Date of Conference:

13-15 Dec 1989