Robust strict positive realness: Characterization and construction

Brian D.O. Anderson*, Soura Dasgupta, Pramod Khargonekar, Frantisek J. Kraus, Mohamed Mansour

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)

Abstract

Let P be a convex set of real polynomials. Consideration is given to the question of when there exists a real polynomial b(s), or, more generally, a real transfer function b(s), such that p(s)/b(s) is strictly positive real for all p(s) ε P. Necessary and sufficient conditions are found for the transfer function case, and when the degree of the polynomials in P is restricted, such conditions are also found for the polynomial b(s) case. Closely related results are also obtained for a z-transform version of the problem. The results have application in adaptive systems.

Original languageEnglish
Pages (from-to)426-430
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
Volume1
Publication statusPublished - 1989
EventProceedings of the 28th IEEE Conference on Decision and Control. Part 1 (of 3) - Tampa, FL, USA
Duration: 13 Dec 198915 Dec 1989

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