Test for two-variable local positivity with applications

1 January 1976

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE

Vol. 64 (9) , 1438-1439
https://doi.org/10.1109/PROC.1976.10344

Abstract

A procedure for determining whether or not a polynomial V(x1,x2) is positive in the region defined by a ≤ x1≤ b and c ≤ x2≤ d, is discussed, where x1and x2are real variables and a, b, c, d are arbitrary real constants. Two physically motivated examples are given to illustrate the procedure.

Keywords

POLYNOMIALS
STABILITY
SYSTEM TESTING
LIMIT-CYCLES
NONLINEAR SYSTEMS
REACTIVE POWER

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