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Introduction

Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 277)

Abstract

Systems and control theory is a subject in which beautiful and deep mathematical theorems have exactly matched the needs of a vital branch of technology. This conjunction of mathematics and engineering has been enric hing for both fields. In this book w e present a solution to the sub-optimal Hankel norm approximation problem which has been studied by both mathematicians and engineers. In this c hapter, among other things, we explain the problem and the relev ance of its solution to the important engineering problem of model reduction, in which the aim is to replace a high order (possibly infinite-dimensional) system by a low order model, without undue loss of accuracy. Finally we will give a brief outline of the chapters in this book. But first we give a brief introduction to the history of the problem, based on Young 93.

Keywords

Model Reduction Reduce Order Model Hankel Operator Hankel Matrix Spectral Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

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