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In this section, we will describe what the multiplicative approximation problem is, and motivate it. In later sections we shall indicate how the problem is solved. We shall find that there is a remarkable correspondence with the earlier results on additive error approximation. There are actually two related ways of measuring the error in the multiplicative approximation problem, known as relative error and multiplicative error, and we shall consider both possibilities; the reduced order models we derive turn out to be the same.
KeywordsHalf Plane Riccati Equation Reduce Order Model Minimum Phase Multiplicative Error
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