Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

W. P. Heath; Guang Li

doi:10.1016/j.automatica.2009.09.010

Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

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

Abstract

We demonstrate the existence of Lur'e-Postnikov type Lyapunov functions for a reasonably general form of the multivariable Popov criterion. In particular, the multipliers need not be positive semi-definite. We discuss the application to the special cases where the feedback element is either diagonal, unstructured or linear. © 2009 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	2977-2981
Number of pages	4
Journal	Automatica
Volume	45
Issue number	12
DOIs	https://doi.org/10.1016/j.automatica.2009.09.010
Publication status	Published - Dec 2009

Keywords

Lyapunov functions
Multipliers
Multivariable feedback systems
Popov criterion
Stability tests

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10.1016/j.automatica.2009.09.010

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abstract = "We demonstrate the existence of Lur'e-Postnikov type Lyapunov functions for a reasonably general form of the multivariable Popov criterion. In particular, the multipliers need not be positive semi-definite. We discuss the application to the special cases where the feedback element is either diagonal, unstructured or linear. {\textcopyright} 2009 Elsevier Ltd. All rights reserved.",

keywords = "Lyapunov functions, Multipliers, Multivariable feedback systems, Popov criterion, Stability tests",

author = "Heath, {W. P.} and Guang Li",

year = "2009",

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doi = "10.1016/j.automatica.2009.09.010",

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AU - Li, Guang

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AB - We demonstrate the existence of Lur'e-Postnikov type Lyapunov functions for a reasonably general form of the multivariable Popov criterion. In particular, the multipliers need not be positive semi-definite. We discuss the application to the special cases where the feedback element is either diagonal, unstructured or linear. © 2009 Elsevier Ltd. All rights reserved.

KW - Lyapunov functions

KW - Multipliers

KW - Multivariable feedback systems

KW - Popov criterion

KW - Stability tests

U2 - 10.1016/j.automatica.2009.09.010

DO - 10.1016/j.automatica.2009.09.010

M3 - Article

VL - 45

SP - 2977

EP - 2981

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 12

ER -

Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

Abstract

Keywords

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