Control Theory and Optimization I
M.I. Zelikin
Broschiertes Buch

Control Theory and Optimization I

Homogeneous Spaces and the Riccati Equation in the Calculus of Variations

Übersetzung: Vakhrameev, S.A.
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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 pro...