Qualitative theory of control systems
著者
書誌事項
Qualitative theory of control systems
（Translations of mathematical monographs, v. 141）
American Mathematical Society , MIR Publishers, c1994
- タイトル別名
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Качественная теория управляемых систем
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注記
"Translated by V. M. Volosov from an original Russian manuscript"--t.p. verso
内容説明・目次
内容説明
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.
目次
Implicit first-order differential equations Local controllability of a system Structural stability of control systems Attainability boundary of a multidimensional system References.
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