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 - http://www.scopus.com/inward/record.url?scp=77957776222&partnerID=8YFLogxK
M3 - Conference contribution
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 -