Geometric, control, and numerical aspects of nonholonomic systems

Description:

Nonholonomic systems are a widespread topic in several scientific and commercial domains, including robotics, locomotion and space exploration. This work sheds new light on this interdisciplinary character through the investigation of a variety of aspects coming from several disciplines. The main aim is to illustrate the idea that a better understanding of the geometric structures of mechanical systems unveils new and unknown aspects to them, and helps both analysis and design to solve standing problems and identify new challenges. In this way, separate areas of research such as Classical Mechanics, Differential Geometry, Numerical Analysis or Control Theory are brought together in this study of nonholonomic systems.

subjects: Differential Geometry,  Geometry, Differential,  Nonholonomic dynamical systems,  Nonlinear control theory,  Numerieke methoden,  Commande non lineaire,  Controleleer,  Dynamisches System,  Differentialgeometrie,  Numerische Mathematik,  Systemes non holonomes,  Geometrie differentielle,  Systeemtheorie,  Mechanisches System,  Kontrolltheorie,  Nichtholonome Bedingung,  Mathematics,  System theory,  Differentiable dynamical systems,  Mechanics, applied,  Dynamical Systems and Ergodic Theory,  Theoretical and Applied Mechanics,  Control Systems Theory