topology

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.