Control Theory and Optimization I Homogeneous Spaces and the Riccati Equation in the Calculus of Variations

Control Theory and Optimization I Homogeneous Spaces and the Riccati Equation in the Calculus of Variations / by M.I. Zelikin.

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 con...

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Bibliographic Details
Main Author: Zelikin, M.I (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
Edition:1st ed. 2000.
Series:Encyclopaedia of Mathematical Sciences, 86
Springer eBook Collection.
Subjects:
Differential geometry.
Calculus of variations.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Classical Calculus of Variations
  • 2. Riccati Equation in the Classical Calculus of Variations
  • 3. Lie Groups and Lie Algebras
  • 4. Grassmann Manifolds
  • 5. Matrix Double Ratio
  • 6. Complex Riccati Equations
  • 7. Higher-Dimensional Calculus of Variations
  • 8. On the Quadratic System of Partial Differential Equations Related to the Minimization Problem for a Multiple Integral
  • Epilogue
  • Appendix to the English Edition
  • References.

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