Reduction theory for mechanical systems with symmetry has its roots in the classical works
in mechanics of Euler, Jacobi, Lagrange, Hamilton, Routh, Poincaré, and others. The …

Nonholonomic systems provide an important class of mechanical control systems. One
reason for this importance is that nonintegrability is essential to both the mechanics and the …

See also GEOMETRIC MECHANICS—Part I: Dynamics and Symmetry (2nd Edition) This
textbook introduces modern geometric mechanics to advanced undergraduates and …

This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a
way that allows the reduction process to be repeated; that is, it develops a context for …

See also GEOMETRIC MECHANICS—Part II: Rotating, Translating and Rolling (2nd Edition)
This textbook introduces the tools and language of modern geometric mechanics to …

The purpose of this paper is twofold: first we show that all the systems discussed in Adler
and van Moerbeke [2](paper I) in connection with Kac-Moody Lie algebras can be linearized …

In this chapter we discuss some of the contributions of Roger Brockett to problems in optimal
control theory, optimization, and analytical mechanics. In particular we consider how ideas …

This paper outlines some features of general reduction theory as well as the geometry of
nonholonomic mechanical systems. In addition to this survey nature, there are some new …

This is both a textbook and a monograph. It is partially based on a two-semester course,
held by the author for third-year students in physics and mathematics at the University of …

Second volume in the series, translated from the Russian, sets out new regular methods for
realizing Hamilton's canonical equations in Lie algebras and symmetric spaces. Begins by …