| Hardcover ISBN: | 978-0-8218-4590-5 |
| Product Code: | MMONO/141 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4558-4 |
| Product Code: | MMONO/141.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4590-5 |
| eBook: ISBN: | 978-1-4704-4558-4 |
| Product Code: | MMONO/141.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
| Hardcover ISBN: | 978-0-8218-4590-5 |
| Product Code: | MMONO/141 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4558-4 |
| Product Code: | MMONO/141.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4590-5 |
| eBook ISBN: | 978-1-4704-4558-4 |
| Product Code: | MMONO/141.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
| AMS Member Price: | $256.00 $194.00 |
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Book DetailsTranslations of Mathematical MonographsVolume: 141; 1994; 147 ppMSC: Primary 34; 93; Secondary 49
This book analyzes control systems using results from singularity theory and the qualitative theory of ordinary differential equations. The main part of the book focuses on systems with two-dimensional phase space. The study of singularities of controllability boundaries for a typical system leads to the classification of normal forms of implicit first-order differential equations near a singular point. Davydov indicates several applications of these normal forms. The book is accessible to graduate students and researchers working in control theory, singularity theory, and various areas of differential equations, as well as in applications.
ReadershipGraduate students and researchers working in control theory, singularity theory, and various areas of differential equations.
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Table of Contents
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Chapters
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Introduction
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Chapter 1. Implicit first-order differential equations
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Chapter 2. Local controllability of a system
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Chapter 3. Structural stability of control systems
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Chapter 4. Attainability boundary of a multidimensional system
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Reviews
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Addresses control theoretic problems from the viewpoint of a working mathematician ... presents a vast collection of theorems accompanied with rigorous proofs formulated in the language of differential topology, singularity theory and the theory of dynamical systems.
Zentralblatt MATH
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
This book analyzes control systems using results from singularity theory and the qualitative theory of ordinary differential equations. The main part of the book focuses on systems with two-dimensional phase space. The study of singularities of controllability boundaries for a typical system leads to the classification of normal forms of implicit first-order differential equations near a singular point. Davydov indicates several applications of these normal forms. The book is accessible to graduate students and researchers working in control theory, singularity theory, and various areas of differential equations, as well as in applications.
Graduate students and researchers working in control theory, singularity theory, and various areas of differential equations.
-
Chapters
-
Introduction
-
Chapter 1. Implicit first-order differential equations
-
Chapter 2. Local controllability of a system
-
Chapter 3. Structural stability of control systems
-
Chapter 4. Attainability boundary of a multidimensional system
-
Addresses control theoretic problems from the viewpoint of a working mathematician ... presents a vast collection of theorems accompanied with rigorous proofs formulated in the language of differential topology, singularity theory and the theory of dynamical systems.
Zentralblatt MATH
