Course | Postgraduate |
Semester | Electives |
Subject Code | AVC864 |
Subject Title | Geometric Approach to Mechanics and Control |
Prerequisites: Vector Spaces (Linear Algebra)
An introduction to differentiable manifolds, tangent ff vectors, vector fields, co vector fields, immersions and submersions, Lie groups, actions of groups, Lie algebras, adjoint co‐adjoint maps, symmetries. Vector fields, integral curves, push‐forward and pull‐back, differential forms and Riemannian geometry.
Euler Poincare reduction for the rigid body and heavy top, satellite dynamics and control with coordinate free models, inverted pendulum on a cart.
Same as Reference