The Yakubovich-Kalman-Popov lemma and Stability Analysis of Dynamic Output Feedback Systems

Rolf Johansson; Anders Robertsson

doi:10.1016/S1474-6670(17)56521-0

The Yakubovich-Kalman-Popov lemma and Stability Analysis of Dynamic Output Feedback Systems

Rolf Johansson, Anders Robertsson

Department of Automatic Control

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

Abstract

This paper presents theory for extension of the Yakubovich-Kalman-Popov (YKP) lemma for stability analysis relevant for observer-based feedback control systems. We show that minimality is not necessary for existence of Lur'e-Lyapunov functions. Implications for output feedback stabilization, positivity, factorization and passivity are given.

Original language	English
Pages (from-to)	3055-3060
Number of pages	6
Journal	IFAC Proceedings Volumes
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/S1474-6670(17)56521-0
Publication status	Published - 1999

Subject classification (UKÄ)

Control Engineering

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10.1016/S1474-6670(17)56521-0

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title = "The Yakubovich-Kalman-Popov lemma and Stability Analysis of Dynamic Output Feedback Systems",

abstract = "This paper presents theory for extension of the Yakubovich-Kalman-Popov (YKP) lemma for stability analysis relevant for observer-based feedback control systems. We show that minimality is not necessary for existence of Lur'e-Lyapunov functions. Implications for output feedback stabilization, positivity, factorization and passivity are given.",

author = "Rolf Johansson and Anders Robertsson",

year = "1999",

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AU - Robertsson, Anders

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AB - This paper presents theory for extension of the Yakubovich-Kalman-Popov (YKP) lemma for stability analysis relevant for observer-based feedback control systems. We show that minimality is not necessary for existence of Lur'e-Lyapunov functions. Implications for output feedback stabilization, positivity, factorization and passivity are given.

U2 - 10.1016/S1474-6670(17)56521-0

DO - 10.1016/S1474-6670(17)56521-0

M3 - Article

VL - 32

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EP - 3060

JO - IFAC Proceedings Volumes

JF - IFAC Proceedings Volumes

IS - 2

ER -

The Yakubovich-Kalman-Popov lemma and Stability Analysis of Dynamic Output Feedback Systems

Abstract

Subject classification (UKÄ)

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