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L2 and L2-L model reduction via linear matrix inequalities

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3 Author(s)
Grigorindis, K.M. ; Dept. of Mech. Eng., Houston Univ., TX, USA ; Lu, J. ; Skelton, R.E.

Necessary and sufficient conditions are derived for the existence of a solution to the continuous-time and discrete-time suboptimal L2 and L2-L model 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 in:

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on  (Volume:4 )

Date of Conference:

11-13 Dec 1996