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Control Theory and Optimization I

Language EnglishEnglish
Book Hardback
Book Control Theory and Optimization I Michail I. Zelikin
Libristo code: 01567156
This book is devoted to geometric methods in the theory of differential equations with quadratic rig... Full description
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This book is devoted to geometric methods in the theory of differential equations with quadratic right-hand sides (Riccati-type equations), which are closely related to the calculus of variations and optimal control theory. Connections of the calculus of variations and the Riccati equation with the geometry of Lagrange-Grassmann manifolds and classical Cartan-Siegel homogeneity domains in a space of several complex variables are considered. In the study of the minimization problem for a multiple integral, a quadratic partial differential equation that is an analogue of the Riccati equation in the calculus of varatiations is studied. This book is based on lectures given by the author ower a period of several years in the Department of Mechanics and Mathematics of Moscow State University. The book is addressed to undergraduate and graduate students, scientific researchers and all specialists interested in the problems of geometry, the calculus of variations, and differential equations.

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About the book

Full name Control Theory and Optimization I
Language English
Binding Book - Hardback
Date of issue 1999
Number of pages 284
EAN 9783540667414
ISBN 3540667415
Libristo code 01567156
Weight 1320
Dimensions 155 x 235 x 22
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