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Bibliografische Details

Titel: Qualitative Theory of Control Systems (Translations of Mathematical Monographs, Volume 141)
Verlag: American Mathematical Society
Erscheinungsjahr: 1994
Sprache: Englisch
ISBN-10: 082184590X
ISBN-13: 9780821845905
Einband: Hardcover
Zustand: Very Good

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Inhaltsangabe

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.

Rese�a del editor

This book analyses 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.

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