ENGLISH

Root Clustering in Parameter Space

By Prof. Shaun Gutman (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1990
ISBN
978-3-540-52361-1, 978-3-540-46970-4
DOI
10.1007/BFb0042758
Language
english
Format
PDF
Filesize
3 MB (3184524 bytes)
Series
Lecture Notes in Control and Information Sciences 141
Edition
1
Pages
157\162
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Control Engineering;Systems TheoryControl;Calculus of Variations and Optimal Control

Description

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.

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