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Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers

Research output: Contribution to conference › Paper › peer-review

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Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers. / Ahmad, N.S.; Heath, W.P.; Li, G.
2011. Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States.

Research output: Contribution to conference › Paper › peer-review

HarvardHarvard

Ahmad, NS, Heath, WP & Li, G 2011, 'Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers', Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States, 15/12/10 - 17/12/10. https://doi.org/10.1109/CDC.2010.5717085

APA

Ahmad, N. S., Heath, W. P., & Li, G. (2011). Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers. Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States. https://doi.org/10.1109/CDC.2010.5717085

CBE

Ahmad NS, Heath WP, Li G. 2011. Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers. Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States. https://doi.org/10.1109/CDC.2010.5717085

MLA

Ahmad, N.S., W.P. Heath and G. Li Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers. 49th IEEE Conference on Decision and Control (CDC), 15 Dec 2010, Atlanta, United States, Paper, 2011. 6 p. https://doi.org/10.1109/CDC.2010.5717085

VancouverVancouver

Ahmad NS, Heath WP, Li G. Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers. 2011. Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States. doi: 10.1109/CDC.2010.5717085

Author

Ahmad, N.S. ; Heath, W.P. ; Li, G. / Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers. Paper presented at 49th IEEE Conference on Decision and Control (CDC), Atlanta, United States.6 p.

RIS

TY - CONF

T1 - Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers

AU - Ahmad, N.S.

AU - Heath, W.P.

AU - Li, G.

PY - 2011/2/22

Y1 - 2011/2/22

N2 - This paper shows the existence of Lur'e-Postkinov type Lyapunov functions for the discrete-time multivariable Popov criterion with indefinite multipliers. The nonlinearities in the Lur'e systems considered here are monotonic, sector- and slope-restricted. We discuss the case where the nonlinearities are diagonal. Our derivation is based on the discrete-time Kalman-Yakubovich-Popov (KYP) lemma and the S-Procedure, and results in Linear Matrix Inequality (LMI) conditions which can be solved using convex optimization methods

AB - This paper shows the existence of Lur'e-Postkinov type Lyapunov functions for the discrete-time multivariable Popov criterion with indefinite multipliers. The nonlinearities in the Lur'e systems considered here are monotonic, sector- and slope-restricted. We discuss the case where the nonlinearities are diagonal. Our derivation is based on the discrete-time Kalman-Yakubovich-Popov (KYP) lemma and the S-Procedure, and results in Linear Matrix Inequality (LMI) conditions which can be solved using convex optimization methods

U2 - 10.1109/CDC.2010.5717085

DO - 10.1109/CDC.2010.5717085

M3 - Papur

T2 - 49th IEEE Conference on Decision and Control (CDC)

Y2 - 15 December 2010 through 17 December 2010

ER -