Control Theory and Optimization I - Homogeneous Spaces and the Riccati Equation in the Calculus of Variations (Hardcover, 2000 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Encyclopaedia of Mathematical Sciences, 86
Release date:	2001
First published:	2000
Translators:	S.A. Vakhrameev
Authors:	M.I. Zelikin
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Hardcover
Pages:	284
Edition:	2000 ed.
ISBN-13:	978-3-540-66741-4
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Optimization > General
LSN:	3-540-66741-5
Barcode:	9783540667414

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