Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

Heath W. P.; G Li

doi:10.1016/j.automatica.2009.09.010

Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

Heath W. P., G Li

Department of Mechanical Engineering

Research output: Contribution to journal › Article (Academic Journal) › peer-review

16 Citations (Scopus)

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.

Translated title of the contribution	Lyapunov functions for the multivariable Popov criterion with indefinite multipliers
Original language	English
Pages (from-to)	2977 - 2981
Number of pages	5
Journal	Automatica
Volume	45
DOIs	https://doi.org/10.1016/j.automatica.2009.09.010
Publication status	Published - Dec 2009

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10.1016/j.automatica.2009.09.010

http://www.sciencedirect.com/science/article/B6V21-4XDFDNM-6/2/17864d50def39e4a7294e74cafda31f5

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title = "Lyapunov functions for the multivariable Popov criterion with indefinite multipliers",

abstract = "We demonstrate the existence of Lur{\textquoteright}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.",

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T1 - Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

AU - W. P., Heath

AU - Li, G

PY - 2009/12

Y1 - 2009/12

N2 - 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.

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.

U2 - 10.1016/j.automatica.2009.09.010

DO - 10.1016/j.automatica.2009.09.010

M3 - Article (Academic Journal)

VL - 45

SP - 2977

EP - 2981

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -