Notes from various courses


SC 618 - Analytic and geometric dynamics

Rigid body stability and Casimirs

Riemannian manifolds

SC 624 - Differential geometric techniques in control

The exponential map

Left and right invariant vector fields

Momentum maps

Principle fibre bundles

Tautological 1-form

Submanifolds

Immersion and invariance,

SC 602 - Control of nonlinear dynamical systems

A primer

Feedback linearization

SC 201 - Mathematical structures for systems and control

sc201_notes_in_preparation

A module titled - Robotics, Geometry and Control - delivered at the HYCON school in Paris, Feb 2008.

hycon_2008

Slides on geometry, mechanics, connections and bundles

geom_mech_conn_bundles

A geometric approach to the modeling and control of mechanical systems, 8 lectures delivered at the

Institute of Automatic Control, Technical University of Munich, Germany. (June 1st to June 30th, 2013.)

Lecture slides, 1, 2, Lecture slides 3, 4, Lecture slides 5, 6, Lecture slides 7, 8.

Optimal Control, Lectures delivered at ISRO, Thiruvananthapuram (Dec 16th to 18th, 2014.)

Lecture slides