9783642086038 - control theory and optimization i: homogeneous spaces and the riccati equation in the calculus of variations (encyclopaedia of mathematical sciences, band 86) von zelikin, m.i. i. (3 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 2010
Serie: Buch 20 von 47 - Encyclopaedia of Mathematical Sciences
- Softcover
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Verlag: Springer, 2010
Serie: Buch 20 von 47 - Encyclopaedia of Mathematical Sciences
- Softcover
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Taschenbuch. Zustand: Neu. Control Theory and Optimization I | Homogeneous Spaces and the Riccati Equation in the Calculus of Variations | M. I. Zelikin | Taschenbuch | Encyclopaedia of Mathematical Sciences | xii | Englisch | 2010 | Springer | EAN 9783642086038 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergart…enstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Sprache: Englisch
Verlag: Springer Spektrum, 2010
Serie: Buch 20 von 47 - Encyclopaedia of Mathematical Sciences
- Softcover
Anbieter: AHA-BUCH GmbH, Einbeck, DeutschlandAHA-BUCH GmbH
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 v…ariations 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 (Chaps. 7 and 8). Chapters 1-4 are mainly auxiliary. To make the presentation complete and self-contained, I here review the standard facts (needed in what folIows) from the calculus of variations, Lie groups and algebras, and the geometry of Grass mann and Lagrange-Grassmann manifolds. When choosing these facts, I pre fer to present not the most general but the simplest assertions. Moreover, I try to organize the presentation so that it is not obscured by formal and technical details and, at the same time, is sufficiently precise. Other chapters contain my results concerning the matrix double ratio, com plex Riccati equations, and also the Riccati partial differential equation, whieh the minimization problem for a multiple integral. arises in The book is based on a course of lectures given in the Department of Me and Mathematics of Moscow State University during several years.
