Lyapunov Functions for Generalized Discrete-Time Multivariable Popov Criterion
نویسندگان
چکیده
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, sectorand 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.
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تاریخ انتشار 2011