Algebraic and Differential Topology
Here, my interest is in the problem of existence of sections of the
image of a Serre fibrations arising in nonlinear controlled dynamics.
More specifically, I am trying to develop an obstruction approach to
the problem of finding sections of a fibre bundle of `affine type.’
Some relevant work (papers and preprints):
- “Control-transverse dynamics” preprint, 1999.
- “Global Feedback Dynamics: A Topological Approach,” preprint; to be submitted
for publication. - “Topological Necessary Conditions for Achieving Global Dynamics,” in preparation; to be
submitted to the SIAM J. Control and Optimization.