Can anyone indicate some references about the applications of driftless control affine systems in economy?
This is a very good question with many possible answers.
A thorough study of driftless control affine systems is given in
http://barabasi.com/f/761.pdf
A good detailed look at driftless control affine systems with applications in the economy and social sciences is given in
https://arxiv.org/pdf/1508.05384.pdf
A 2016 Ph.D. thesis that considers driftless control affine systems relative to economic costs is presented in
SAMPLING-BASED MOTION PLANNING FOR SAFE AND EFFICIENT
SPACECRAFT PROXIMITY OPERATIONS
http://asl.stanford.edu/wp-content/papercite-data/pdf/Starek.PhD16.pdf
Thank you very much for answers. I used the Lie algebroids framework in the study of driftless control affine systems (distributional systems) and I'm looking for possible economic applications. See https://arxiv.org/pdf/1302.5212.pdf
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