Root Clustering in Parameter Space

1. Front Matter

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2. Introduction

   Pages 1-8

3. Review of classical results

   Pages 9-25

4. Introduction to root clustering

   Pages 26-44

5. Transformable regions

   Pages 45-68

6. Root clustering criteria

   Pages 69-93

7. Symmetric matrix approach

   Pages 94-117

8. Parameter space and feedback design

   Pages 118-144

9. Back Matter

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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.

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

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