• Corpus ID: 18685661

DISCONTINUOUS RIGHT-HAND SIDES : FILIPPOV SOLUTIONS , NONSMOOTH STABILITY AND DISSIPATIVITY THEORY , AND OPTIMAL DISCONTINUOUS FEEDBACK CONTROL

@inproceedings{Haddad2014DISCONTINUOUSRS,
  title={DISCONTINUOUS RIGHT-HAND SIDES : FILIPPOV SOLUTIONS , NONSMOOTH STABILITY AND DISSIPATIVITY THEORY , AND OPTIMAL DISCONTINUOUS FEEDBACK CONTROL},
  author={Wassim M. Haddad},
  year={2014}
}
In this paper, we develop stability, dissipativity, and optimality notions for dynamical systems with discontinuous vector fields. Specifically, we consider dynamical systems with Lebesgue measurable and locally essentially bounded vector fields characterized by differential inclusions involving Filippov set-valued maps specifying a set of directions for the system velocity and admitting Filippov solutions with absolutely continuous curves. In addition, we extend classical dissipativity theory… 

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