Curvatures of single-input control systems
Singularities of k-tuples of vector fields
CONTENTSIntroduction............................................................................51. The main ideas and results................................................62. -invariant subsets of .........................223. Reduction to germs of differential 1-forms........................354. The case k ≥ 2n-3. Proof of Theorem A...........................445. The case n = 3, k = 2.......................................................46Appendix. Connections with control theory...........................59List...
Phase portraits of planar control-affine systems
Local reduction theorems and invariants for singular contact structures
A differential 1-form on a -dimensional manifolds defines a singular contact structure if the set of points where the contact condition is not satisfied, , is nowhere dense in . Then is a hypersurface with singularities and the restriction of to can be defined. Our first theorem states that in the holomorphic, real-analytic, and smooth categories the germ of Pfaffian equation generated by is determined, up to a diffeomorphism, by its restriction to , if we eliminate certain degenerated singularities...
Contents
Preface, Contents
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