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Incorrect flow for DI integrator with Affine/Sinusoidal/Piecewise approximation #198

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lgeretti opened this issue Sep 19, 2018 · 2 comments
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Incorrect flow for DI integrator with Affine/Sinusoidal/Piecewise approximation #198

lgeretti opened this issue Sep 19, 2018 · 2 comments
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lgeretti commented Sep 19, 2018 •
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The Integrator interface assumes that flow_step returns the flow, which is partially evaluated to obtain the reach and evolve set. Unfortunately for a differential inclusion integrator using the Affine/Sinusoidal/Piecewise cases, we currently don't have a formula for a correct flow. Moreover, for the Piecewise case, we would need to be able to represent a piecewise continuous function.
@lgeretti lgeretti added bug Something isn't working dynamics Dynamics module solvers Solvers module labels Sep 19, 2018
@lgeretti lgeretti self-assigned this Sep 19, 2018
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For the time being, the DI evolver will rely on using a Zero or Constant approximation to return the correct reach set and eventually use the Affine/Sinusoidal/Piecewise approximation to get a more refined evolve set separately.

@lgeretti lgeretti changed the title Incorrect reach set for DI integrator with Affine/Sinusoidal/Piecewise approximation Incorrect flow for DI integrator with Affine/Sinusoidal/Piecewise approximation Sep 19, 2018
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Depends on #94

@lgeretti lgeretti removed the dynamics Dynamics module label Sep 22, 2018
@lgeretti lgeretti mentioned this issue Jun 8, 2021
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