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Table of contents

About this book

Introduction

This book deals with algebraic criteria for root clustering (inclusion) in general regions in the complex plane. It is based on the view that there are three approaches to root clustering: composite matrices and polynomial symmetric matrices, and rational mappings. The book presents two main results of potential benefit to the reader. First, given a linear dynamical system, it is possible to analyze its relative stability. Second, for that system it is possible to construct a dynamic controller of fixed order for closed loop relative stability. The reader is assumed to have some knowledge of linear algebra and the theory of complex variables. The book is aimed at systems and control researchers, mathematicians and physicists.

Keywords

Regelung Regelungstheorie Systemtheorie algebra control design dynamische Systeme feedback linear algebra stability system system theory

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0042758
  • Copyright Information Springer-Verlag 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52361-1
  • Online ISBN 978-3-540-46970-4
  • Series Print ISSN 0170-8643
  • Series Online ISSN 1610-7411
  • Buy this book on publisher's site