Translations of Mathematical Monographs 1994; 147 pp; hardcover Volume: 141 ISBN10: 082184590X ISBN13: 9780821845905 List Price: US$76 Member Price: US$60.80 Order Code: MMONO/141
 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. Readership Graduate students and researchers working in control theory, singularity theory, and various areas of differential equations. 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 Table of Contents  Implicit firstorder differential equations
 Local controllability of a system
 Structural stability of control systems
 Attainability boundary of a multidimensional system
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