Geometric Control And Non Holonomic Mechanics: Conference On Geometric Control And Non Holonomic Mechanics, June 19 21, 1996, Mexico City V. Jurdjevic

ISBN: 9780821807958

Published: January 1st 1998

Hardcover

239 pages


Description

Geometric Control And Non Holonomic Mechanics: Conference On Geometric Control And Non Holonomic Mechanics, June 19 21, 1996, Mexico City  by  V. Jurdjevic

Geometric Control And Non Holonomic Mechanics: Conference On Geometric Control And Non Holonomic Mechanics, June 19 21, 1996, Mexico City by V. Jurdjevic
January 1st 1998 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 239 pages | ISBN: 9780821807958 | 3.77 Mb

Control theory, a synthesis of geometric theory of differential equations enriched with variational principles and the associated symplectic geometry, emerges as a new mathematical subject of interest to engineers, mathematicians, and physicists.MoreControl theory, a synthesis of geometric theory of differential equations enriched with variational principles and the associated symplectic geometry, emerges as a new mathematical subject of interest to engineers, mathematicians, and physicists.

This collection of articles focuses on several distinctive research directions having origins in mechanics and differential geometry, but driven by modern control theory. The first of these directions deals with the singularities of small balls for problems of sub-Riemannian geometry and provides a generic classification of singularities for two-dimensional distributions of contact type in a three-dimensional ambient space.

The second direction deals with invariant optimal problems on Lie groups exemplified through the problem of Dublins extended to symmetric spaces, the elastic problem of Kirchhoff and its relation to the heavy top. The results described in the book are explicit and demonstrate convincingly the power of geometric formalism.



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