Root Clustering in Parameter Space

Shaul Gutman

ISBN 10: 3540523618 / ISBN 13: 9783540523611

Published by Springer Berlin Heidelberg Mrz 1990, 1990

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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. 168 pp. Englisch.

Seller Inventory # 9783540523611

Bibliographic Details

• Title: Root Clustering in Parameter Space
• Publisher: Springer Berlin Heidelberg Mrz 1990
• Publication Date: 1990
• Language: English
• ISBN 10: 3540523618
• ISBN 13: 9783540523611
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 10D millimeters 244 millimeters width by 170 millimeters height by 10 millimeters depth
• Weight: 302 grams

About this title

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.