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Implement inner Enclosure approximations #744

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lgeretti opened this issue Mar 31, 2023 · 0 comments
Open

Implement inner Enclosure approximations #744

lgeretti opened this issue Mar 31, 2023 · 0 comments
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dynamics Dynamics module enhancement Something new or different that is an improvement

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@lgeretti
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lgeretti commented Mar 31, 2023

According to "Utilizing Dependencies to Obtain Subsets of Reachable Sets" from Kochdumper-Schurmann-Althoff, we can compute inner approximations from (Taylor) outer approximations with polynomial cost, which makes sense when we are interested in jointly proving/disproving.

This applies to dynamics because it needs the initial set and the actual dynamics, since the solution needs to be validated through backwards reachability.

@lgeretti lgeretti added the enhancement Something new or different that is an improvement label Mar 31, 2023
@lgeretti lgeretti self-assigned this Mar 31, 2023
@lgeretti lgeretti changed the title Implement inner TaylorSet approximations Implement inner Enclosure approximations Mar 31, 2023
@lgeretti lgeretti added the dynamics Dynamics module label Mar 31, 2023
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Labels
dynamics Dynamics module enhancement Something new or different that is an improvement
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