On H/sub (infinity)/ model reduction using LMIs

In this note, we deal with the problem of approximating a given nth-order linear time-invariant system G by an rth-order system G/sub r/ where r< optimization. LMI via constructed be can models reduced-order optimal the and convex essentially is problem that show we value, singular Hankel smallest of multiplicity by order system reduce when Moreover, LMIs. to related manipulations algebraic simple bounds lower those for proof alternative an provides note this Thus, role. central a plays operators analysis where studies previous in obtained with coincide G values terms given are These techniques. (LMI)-related ineqaulity matrix linear using analyzed error associated norm infin spl sub H shown It>