Lyapunov functions for generalized discrete-time multivariable Popov criterion
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This paper shows the existence of Lur'e-Postkinov Lyapunov functions for the generalized multivariable discrete-time Popov criterion. The nonlinearities in the Lur'e system considered here are monotonic, sector- and slope-restricted. We discuss the cases where the nonlinearities are diagonal and non-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 |
|---|---|
| Pages (from-to) | 3392-3397 |
| Number of pages | 6 |
| Journal | IFAC Proceedings Volumes (IFAC-PapersOnline) |
| Volume | 44 |
| Issue number | 1 |
| Early online date | 1 Jan 2011 |
| DOIs | |
| Publication status | Published - 25 Apr 2016 |
| Externally published | Yes |