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

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.
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2000, 2000
Edition:1st ed. 2000
Series:Encyclopaedia of Mathematical Sciences
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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