Обложка Invariant optimal control problems on the 3D Lorentz group SO(1,2)0
Название книги:

Invariant optimal control problems on the 3D Lorentz group SO(1,2)0

LAP LAMBERT Academic Publishing (2016-10-05 )

Books loader bb69257a3a9a387d440a41825df873e80c07784fb50385ca6925e0245e5555d7

Omni badge 9307e2201e5f762643a64561af3456be64a87707602f96b92ef18a9bbcada116 имеющий право на ваучер
ISBN-13:

978-3-659-96483-1

ISBN-10:
3659964832
EAN:
9783659964831
Язык Книги:
Английский
Краткое описание:
Invariant optimal control problems cover a wide variety of mathematical problems inspired by the irreversible nature of time-evolving events. The 3D Lorentz group is both the transformation group of reduced Minkowski spacetime and the symmetry group of hyperobolic plane geometry and as such allows some strong visual and mathematical insights into the kinematic laws of special relativity. Making use of the invariance properties, we deal with the optimal control problems geometrically using the powerful machinery of geometric control theory. We cover generally controllability properties and determination of equivalence classes of all such left-invariant dynamical systems. Choosing specific examples we determine explicit expressions of extremals in terms of Jacobi elliptic functions and the nonlinear stability of their equilibrium points. All the required background on hyperbolic plane geometry, introductory Lie theory and geometric control theory is covered and clearly presented to make this a stand-alone monograph on invariant control systems on the 3D Lorentz group.
Издательский Дом:
LAP LAMBERT Academic Publishing
Веб-сайт:
http://www.lap-publishing.com/
By (author) :
Helen Henninger
Количество страниц:
160
Опубликовано:
2016-10-05
Акции:
В наличии
Категория:
Математика
Цена:
5105.23 руб
Ключевые слова:
special relativity, Geometric control theory, Lorenz group, invariant optimal control problems

Books loader bb69257a3a9a387d440a41825df873e80c07784fb50385ca6925e0245e5555d7

Рассылка

Банковский перевод

  0 продуктов в корзине
Редактировать корзину
Loading frontend a1511bff1b5d307157b6d2998f00204b5e7a82a6a02fd75b149775d94b377442
LOADING