Geometric functional analysis and applications

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