Lyapunov functions for discrete-time multivariable Popov criterion with indefinite multipliers
Research output: Contribution to conference › Paper › peer-review
Electronic versions
DOI
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
| Original language | Unknown |
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| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 22 Feb 2011 |
| Externally published | Yes |
| Event | 49th IEEE Conference on Decision and Control (CDC) - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010 |
Conference
| Conference | 49th IEEE Conference on Decision and Control (CDC) |
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| Country/Territory | United States |
| City | Atlanta |
| Period | 15/12/10 → 17/12/10 |