# Geometric functional analysis and applications

Back to my research page.

- A geometric approach to the comparison of the variational approach to
constrained mechanics with the Lagrange-D'Alembert Principle.

**Reference:** *Nonholonomic and constrained variational mechanics*.
- A new way of viewing control systems, using topologies for spaces of
vector fields. This allows, for example, a coherent formulation for real
analytic control systems.

**Reference:** *Locally convex topologies and control
theory*.
- A feedback-invariant framework for geometric control theory, using
topologies for spaces of vector fields and sheaf theory.

**Reference:** *Tautological control systems*.
- A unified topological framework for vector fields and flows of various
regularity.

**Reference:** *Time-varying vector fields and their flows*.

*Andrew D. Lewis (andrew at mast.queensu.ca)*