Finite frequency negative imaginary systems

Junlin Xiong; Ian R. Petersen; Alexander Lanzon

Finite frequency negative imaginary systems

Junlin Xiong^*, Ian R. Petersen, Alexander Lanzon

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

6 Citations (Scopus)

Abstract

This paper is concerned with finite frequency negative imaginary (FFNI) systems. The paper introduces the concept of FFNI transfer function matrices, and the relationship between the FFNI property and the finite frequency positive real (FFPR) property of transfer function matrices is established. The paper also establishes an FFNI lemma which gives a necessary and sufficient condition on the matrices appearing in a minimal state-space realization for a transfer function to be FFNI. Also, a time-domain interpretation of the FFNI property is provided in terms of system input, output and state. An example is presented to illustrate the FFNI concept and the FFNI lemma.

Original language	English
Title of host publication	Proceedings of the 2010 American Control Conference, ACC 2010
Pages	323-328
Number of pages	6
Publication status	Published - 2010
Externally published	Yes
Event	2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: 30 Jun 2010 → 2 Jul 2010

Publication series

Name	Proceedings of the 2010 American Control Conference, ACC 2010

Conference

Conference	2010 American Control Conference, ACC 2010
Country/Territory	United States
City	Baltimore, MD
Period	30/06/10 → 2/07/10

Cite this

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title = "Finite frequency negative imaginary systems",

abstract = "This paper is concerned with finite frequency negative imaginary (FFNI) systems. The paper introduces the concept of FFNI transfer function matrices, and the relationship between the FFNI property and the finite frequency positive real (FFPR) property of transfer function matrices is established. The paper also establishes an FFNI lemma which gives a necessary and sufficient condition on the matrices appearing in a minimal state-space realization for a transfer function to be FFNI. Also, a time-domain interpretation of the FFNI property is provided in terms of system input, output and state. An example is presented to illustrate the FFNI concept and the FFNI lemma.",

author = "Junlin Xiong and Petersen, \{Ian R.\} and Alexander Lanzon",

year = "2010",

language = "English",

isbn = "9781424474264",

series = "Proceedings of the 2010 American Control Conference, ACC 2010",

pages = "323--328",

booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",

note = "2010 American Control Conference, ACC 2010 ; Conference date: 30-06-2010 Through 02-07-2010",

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TY - GEN

T1 - Finite frequency negative imaginary systems

AU - Xiong, Junlin

AU - Petersen, Ian R.

AU - Lanzon, Alexander

PY - 2010

Y1 - 2010

N2 - This paper is concerned with finite frequency negative imaginary (FFNI) systems. The paper introduces the concept of FFNI transfer function matrices, and the relationship between the FFNI property and the finite frequency positive real (FFPR) property of transfer function matrices is established. The paper also establishes an FFNI lemma which gives a necessary and sufficient condition on the matrices appearing in a minimal state-space realization for a transfer function to be FFNI. Also, a time-domain interpretation of the FFNI property is provided in terms of system input, output and state. An example is presented to illustrate the FFNI concept and the FFNI lemma.

AB - This paper is concerned with finite frequency negative imaginary (FFNI) systems. The paper introduces the concept of FFNI transfer function matrices, and the relationship between the FFNI property and the finite frequency positive real (FFPR) property of transfer function matrices is established. The paper also establishes an FFNI lemma which gives a necessary and sufficient condition on the matrices appearing in a minimal state-space realization for a transfer function to be FFNI. Also, a time-domain interpretation of the FFNI property is provided in terms of system input, output and state. An example is presented to illustrate the FFNI concept and the FFNI lemma.

UR - https://www.scopus.com/pages/publications/77957776222

M3 - Conference Paper

SN - 9781424474264

T3 - Proceedings of the 2010 American Control Conference, ACC 2010

SP - 323

EP - 328

BT - Proceedings of the 2010 American Control Conference, ACC 2010

T2 - 2010 American Control Conference, ACC 2010

Y2 - 30 June 2010 through 2 July 2010

ER -

Finite frequency negative imaginary systems

Abstract

Publication series

Conference

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