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
- 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
Reference: Time-varying vector fields and their flows.
Andrew D. Lewis (andrew at mast.queensu.ca)