Geometric functional analysis and applications

Back to my research page.

  1. 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.
  2. 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.
  3. A feedback-invariant framework for geometric control theory, using topologies for spaces of vector fields and sheaf theory.
    Reference: Tautological control systems.
  4. 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