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Root Clustering in Parameter Space

Name: Root Clustering in Parameter Space
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 02172647
Price: 53.79 EUR
Availability: InStock
Author: Shaul Gutman
ISBN: 9783540523611

Shaul Gutman

Language

English

Book Paperback

Libristo code: 02172647

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, March 1990

This book deals with algebraic criteria for root clustering (inclusion) in general regions in the co... Full description

Libristo code: 02172647

132 b

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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.