Lyapunov functions for generalized discrete-time multivariable Popov criterion

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Dangosydd eitem ddigidol (DOI)

  • N.S. Ahmad
    University of Manchester
  • W.P. Heath
    University of Manchester
  • G. Li
    College of Life and Environmental Sciences, University of Exeter, Penryn Campus, Penryn, 9 TR10 9EZ, UK.
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.
Iaith wreiddiolAnadnabyddus
Tudalennau (o-i)3392-3397
Nifer y tudalennau6
CyfnodolynIFAC Proceedings Volumes (IFAC-PapersOnline)
Cyfrol44
Rhif y cyfnodolyn1
Dyddiad ar-lein cynnar1 Ion 2011
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 25 Ebr 2016
Cyhoeddwyd yn allanolIe
Gweld graff cysylltiadau