A Strongly Strict Negative-Imaginary Lemma for Non-Minimal Linear Systems

Alexander Lanzon; Zhouyue Song; Sourav Patra; Ian Petersen

doi:10.4310/CIS.2011.v11.n2.a3

A Strongly Strict Negative-Imaginary Lemma for Non-Minimal Linear Systems

Alexander Lanzon, Zhouyue Song, Sourav Patra, Ian Petersen

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	139-152
Journal	Communications in Information and Systems
Volume	11
Issue number	2
DOIs	https://doi.org/10.4310/CIS.2011.v11.n2.a3
Publication status	Published - 2011

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title = "A Strongly Strict Negative-Imaginary Lemma for Non-Minimal Linear Systems",

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.",

author = "Alexander Lanzon and Zhouyue Song and Sourav Patra and Ian Petersen",

year = "2011",

doi = "10.4310/CIS.2011.v11.n2.a3",

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AB - 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.

U2 - 10.4310/CIS.2011.v11.n2.a3

DO - 10.4310/CIS.2011.v11.n2.a3

M3 - Article

SN - 2163-4548

VL - 11

SP - 139

EP - 152

JO - Communications in Information and Systems

JF - Communications in Information and Systems

IS - 2

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A Strongly Strict Negative-Imaginary Lemma for Non-Minimal Linear Systems

Abstract

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