Canonical Discontinuous Planar Piecewise Linear Systems

  title={Canonical Discontinuous Planar Piecewise Linear Systems},
  author={Emilio Freire and Enrique Ponce and Francisco Torres},
  journal={SIAM J. Applied Dynamical Systems},
The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity zones is considered. Under generic conditions that amount to the boundedness of the sliding set, some changes of variables and parameters are used to obtain a Liénard-like canonical form with seven parameters. This canonical form is topologically equivalent to the original system if one restricts one’s attention to orbits with no points in the sliding set. Under the… CONTINUE READING


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