Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

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Lyapunov functions for the multivariable Popov criterion with indefinite multipliers. / Heath, W.P.; Li, G.
In: Automatica, Vol. 45, No. 12, 01.12.2009, p. 2977-2981.

Research output: Contribution to journalArticlepeer-review

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Heath WP, Li G. Lyapunov functions for the multivariable Popov criterion with indefinite multipliers. Automatica. 2009 Dec 1;45(12):2977-2981. Epub 2009 Oct 8. doi: 10.1016/j.automatica.2009.09.010

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Heath, W.P. ; Li, G. / Lyapunov functions for the multivariable Popov criterion with indefinite multipliers. In: Automatica. 2009 ; Vol. 45, No. 12. pp. 2977-2981.

RIS

TY - JOUR

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

AU - Heath, W.P.

AU - Li, G.

PY - 2009/12/1

Y1 - 2009/12/1

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 - Erthygl

VL - 45

SP - 2977

EP - 2981

JO - Automatica

JF - Automatica

IS - 12

ER -