Porth Ymchwil

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

Allbwn ymchwil: Cyfraniad at gynhadledd › Papur › adolygiad gan gymheiriaid

Fersiynau electronig

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 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
Iaith wreiddiolAnadnabyddus
Nifer y tudalennau6
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 22 Chwef 2011
Cyhoeddwyd yn allanolIe
Digwyddiad49th IEEE Conference on Decision and Control (CDC) - Atlanta, Yr Unol Daleithiau
Hyd: 15 Rhag 2010 → 17 Rhag 2010

Cynhadledd

Cynhadledd49th IEEE Conference on Decision and Control (CDC)
Gwlad/TiriogaethYr Unol Daleithiau
DinasAtlanta
Cyfnod15/12/10 → 17/12/10
Gweld graff cysylltiadau