On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems

J. Collado; R. Lozano; Rolf Johansson

doi:10.1109/9.935061

On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems

J. Collado, R. Lozano, Rolf Johansson

Institutionen för reglerteknik

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Sammanfattning

The Kalman-Yakubovich-Popov (KYP) lemma has been a cornerstone in system theory and network analysis and synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equations involving parameters of a minimal realization in time domain. This note proves that the KYP lemma is also valid for realizations which are stabilizable and observable

Originalspråk	engelska
Sidor (från-till)	1089-1093
Tidskrift	IEEE Transactions on Automatic Control
Volym	46
Nummer	7
DOI	https://doi.org/10.1109/9.935061
Status	Published - 2001

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10.1109/9.935061

collado_IEEE_Trans_Autom_Con_2001

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title = "On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems",

abstract = "The Kalman-Yakubovich-Popov (KYP) lemma has been a cornerstone in system theory and network analysis and synthesis. It relates an analytic property of a square transfer matrix in the frequency domain to a set of algebraic equations involving parameters of a minimal realization in time domain. This note proves that the KYP lemma is also valid for realizations which are stabilizable and observable",

keywords = "transfer function matrices, time-domain analysis, system theory, stability, network analysis, graph theory, frequency-domain analysis, Popov criterion, circuit stability",

author = "J. Collado and R. Lozano and Rolf Johansson",

year = "2001",

doi = "10.1109/9.935061",

language = "English",

volume = "46",

pages = "1089--1093",

journal = "IEEE Transactions on Automatic Control",

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KW - transfer function matrices

KW - time-domain analysis

KW - system theory

KW - stability

KW - network analysis

KW - graph theory

KW - frequency-domain analysis

KW - Popov criterion

KW - circuit stability

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On the Kalman-Yakubovich-Popov Lemma for Stabilizable Systems

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