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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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

Poststr. 9
Darmstadt
64293
Germania

Altre edizioni note dello stesso titolo

9783642086038: Control Theory and Optimization I: Homogeneous Spaces and the Riccati Equation in the Calculus of Variations: 86

Edizione in evidenza

ISBN 10:  3642086039 ISBN 13:  9783642086038
Casa editrice: Springer, 2010
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