Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag London
About this chapter
Cite this chapter
Obinata, G., Anderson, B.D.O. (2001). Multiplicative Approximation. In: Model Reduction for Control System Design. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0283-0_2
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0283-0_2
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1078-1
Online ISBN: 978-1-4471-0283-0
eBook Packages: Springer Book Archive