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Control Theory and Optimization I
M.I. Zelikin
€ 133.53
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Description for Control Theory and Optimization I
Hardback. Focuses on geometric methods in the theory of differential equations with quadratic right-hand sides (Riccati-type equations). This book considers 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 complex variables. Translator(s): Vakhrameev, S.A. Series: Encyclopaedia of Mathematical Sciences. Num Pages: 284 pages, biography. BIC Classification: PBMP; PBU. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 17. Weight in Grams: 597.
This book is devoted to the development of geometrie methods for studying and revealing geometrie aspects of the theory of differential equations with quadratie right-hand sides (Riccati-type equations), which are closely related to the calculus of variations and optimal control theory. The book contains the following three parts, to each of which aseparate book could be devoted: 1. the classieal calculus of variations and the geometrie theory of the Riccati equation (Chaps. 1-5), 2. complex Riccati equations as flows on Cartan-Siegel homogeneity da mains (Chap. 6), and 3. the minimization problem for multiple integrals and Riccati partial dif ferential equations ... Read more
This book is devoted to the development of geometrie methods for studying and revealing geometrie aspects of the theory of differential equations with quadratie right-hand sides (Riccati-type equations), which are closely related to the calculus of variations and optimal control theory. The book contains the following three parts, to each of which aseparate book could be devoted: 1. the classieal calculus of variations and the geometrie theory of the Riccati equation (Chaps. 1-5), 2. complex Riccati equations as flows on Cartan-Siegel homogeneity da mains (Chap. 6), and 3. the minimization problem for multiple integrals and Riccati partial dif ferential equations ... Read more
Product Details
Format
Hardback
Publication date
1999
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
284
Condition
New
Series
Encyclopaedia of Mathematical Sciences
Number of Pages
284
Place of Publication
Berlin, Germany
ISBN
9783540667414
SKU
V9783540667414
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Control Theory and Optimization I
".... This book was written by a master expositor and is required reading for anyone who is intersted in pursuing a serious study of the Riccati equation. The first four chapters should be required reading for every graduate student who is thinking about studying geometric or mathematical control theory. I do not know of a better overview of the matheamtics ... Read more