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Bibliographic Details

Title: Root Clustering in Parameter Space (Lecture Notes in Control and Information Sciences, 141)
Publisher: Springer
Publication Date: 1990
Language: English
ISBN 10: 3540523618
ISBN 13: 9783540523611
Binding: Soft cover
Condition: Good

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Synopsis

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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