Communications in Information and Systems

Volume 11 (2011)

Number 2

A strongly strict negative-imaginary lemma for non-minimal linear systems

Pages: 139 – 142

DOI: http://dx.doi.org/10.4310/CIS.2011.v11.n2.a3

Authors

Alexander Lanzon (School of Electrical and Electronic Engineering, University of Manchester, United Kingdom)

Sourav Patra (School of Electrical and Electronic Engineering, University of Manchester, United Kingdom)

Ian R. Petersen (School of Information Technology and Electrical Engineering, University of New South Wales, Canberra, ACT, Australia)

Zhuoyue Song (School of Electrical and Electronic Engineering, University of Manchester, United Kingdom)

Abstract

A state-space characterization is given for strongly strict negative-imaginary systems. It facilitates both robust analysis and synthesis methods for interconnected negative-imaginary systems. Numerical advantages are achieved by avoiding a non-convex rank constraint, a non-strict inequality condition and a minimality assumption present in previous literature.

Keywords

negative-imaginary systems, positive-real, non-minimal realization

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