L2and L2-Lmodel reduction via linear matrix inequalities Conference Paper uri icon


  • Necessary and sufficient conditions are derived for the existence of a solution to the continuous-time and discrete-time suboptimal L2and L2-LINFmodel reduction problems. These conditions are expressed in terms of Linear Matrix Inequalities (LMIs) and a coupling non-convex rank constraint set. In addition, explicit parametrizations of all reduced-order models that correspond to a feasible solution are presented in terms of contractive matrices.

published proceedings

  • Proceedings of the IEEE Conference on Decision and Control

author list (cited authors)

  • Grigoriadis, K. M., Lu, J., & Skelton, R. E.

complete list of authors

  • Grigoriadis, KM||Lu, J||Skelton, RE

publication date

  • December 1996