Abstract:
Recently, a compact characterization of scalar positive polynomials on the real line and on the unit circle was derived by Nesterov [3]. In this paper we show how to exte...Show MoreMetadata
Abstract:
Recently, a compact characterization of scalar positive polynomials on the real line and on the unit circle was derived by Nesterov [3]. In this paper we show how to extend this result to pseudo-polynomial matrices, and also present a new proof based on the positive real lemma. The characterization is very similar to the scalar case and also allows the use of fast algorithms for computing the central point of the corresponding convex set.
Published in: 1999 European Control Conference (ECC)
Date of Conference: 31 August 1999 - 03 September 1999
Date Added to IEEE Xplore: 04 May 2015
Print ISBN:978-3-9524173-5-5