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Control Theory and Optimization I on Hardback by M.I. Zelikin
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Control Theory and Optimization I

Homogeneous Spaces and the Riccati Equation in the Calculus of Variations
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Description

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.
Release date Australia
December 15th, 1999
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Contributor
  • Translated by S.A. Vakhrameev
Illustrations
XII, 284 p.
Pages
284
Dimensions
156x234x17
ISBN-13
9783540667414
Product ID
2504340

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