Control Theory and Optimization I
Springer Berlin (Verlag)
978-3-642-08603-8 (ISBN)
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.
".... 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 required to do modern geometric control theory. Every control theorist should have a well-worn copy of this book on his bookshelf. ... Zelikin has written a book that will be well read for many years...."
Siam Review, Vol. 43/1, March 2001
"... The text requires good background, but will be a useful reference."
Mathematika 2002, Issue 93-94
Erscheint lt. Verlag | 5.12.2010 |
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Reihe/Serie | Encyclopaedia of Mathematical Sciences |
Übersetzer | S.A. Vakhrameev |
Zusatzinfo | XII, 284 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 451 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | Calculus of Variations • Control Theory • manifold • optimal control • Optimization • partial differential equation |
ISBN-10 | 3-642-08603-9 / 3642086039 |
ISBN-13 | 978-3-642-08603-8 / 9783642086038 |
Zustand | Neuware |
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