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Control Theory and Optimization I: Homogeneous Spaces and the Riccati Equatio in the Calculus of Variations: 86 - Rilegato

Libro 20 di 47: Encyclopaedia of Mathematical Sciences

Zelikin, M. I.

 
9783540667414: Control Theory and Optimization I: Homogeneous Spaces and the Riccati Equatio in the Calculus of Variations: 86
Rilegato
ISBN 10: 3540667415 ISBN 13: 9783540667414
Casa editrice: Springer Verlag, 1999

Sinossi

The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.

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Recensione

".... 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

Contenuti

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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Editore
Springer Verlag
Data di pubblicazione
1999
Lingua
Inglese
ISBN 10 
3540667415
ISBN 13 
9783540667414
Rilegatura
Copertina rigida
Numero di pagine
296
Contatto del produttore
non disponibile
Persona responsabile
ProductSafety@springernature.com
ProductSafety@springernature.com

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