Hardcover ISBN:  9780821845905 
Product Code:  MMONO/141 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470445584 
Product Code:  MMONO/141.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Hardcover ISBN:  9780821845905 
eBook: ISBN:  9781470445584 
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:  9780821845905 
Product Code:  MMONO/141 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470445584 
Product Code:  MMONO/141.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Hardcover ISBN:  9780821845905 
eBook ISBN:  9781470445584 
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 

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 twodimensional phase space. The study of singularities of controllability boundaries for a typical system leads to the classification of normal forms of implicit firstorder 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.

Table of Contents

Chapters

Introduction

Chapter 1. Implicit firstorder differential equations

Chapter 2. Local controllability of a system

Chapter 3. Structural stability of control systems

Chapter 4. Attainability boundary of a multidimensional system


Reviews

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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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 twodimensional phase space. The study of singularities of controllability boundaries for a typical system leads to the classification of normal forms of implicit firstorder 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 firstorder 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