Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

W.P. Heath; G. Li

doi:10.1016/j.automatica.2009.09.010

Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

W.P. Heath
, G. Li

University of Bristol
University of Manchester

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

Crynodeb

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

Iaith wreiddiol	Anadnabyddus
Tudalennau (o-i)	2977-2981
Nifer y tudalennau	5
Cyfnodolyn	Automatica
Cyfrol	45
Rhif cyhoeddi	12
Dyddiad ar-lein cynnar	8 Hyd 2009
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.automatica.2009.09.010
Statws	Cyhoeddwyd - 1 Rhag 2009
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

10.1016/j.automatica.2009.09.010

Dyfynnu hyn

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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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AU - Li, G.

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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

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