Control theory and optimization I
Subtitle: homogeneous spaces and the Riccati equation in the calculus of variations
By: M.I. Zelikin
Contributors: Zelikin, M. I.
Series: Encyclopaedia of mathematical sciences -- v. 86
Publisher: Springer
Published: 2000
Place of publication: Berlin; New York
Language: eng
Number of pages: 284
Subjects: Control theory; Mathematical optimization; Riccati equation; Calculus of variations
Other titles: Homogeneous spaces and the Riccati equation in the calculus of variations
Work titles: Odnorodnye prostranstva i uravnenie rikkati v variatsionnom ischislenii 1. English
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. 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."--BOOK JACKET.
Notes: Translation of : Odnorodnye prostranstva i uravnenie rikkati v variatsionnom ischislenii, as v. 86 of the serial: Itogi nauki i tekhniki. Sovremennye problemy matematiki. Fundamental'nye napravleniya

Includes bibliographical references and indexes