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Reachability for linear systems using vrep #72

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mforets opened this issue Jul 8, 2019 · 2 comments
Open

Reachability for linear systems using vrep #72

mforets opened this issue Jul 8, 2019 · 2 comments

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@mforets
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mforets commented Jul 8, 2019

https://nbviewer.jupyter.org/github/mforets/escritoire/blob/master/sets/DiscreteSequence.ipynb

@schillic
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schillic commented Jul 8, 2019

If it is not too difficult, it would be good to have a "generic" algorithm that we can then also instantiate with H-rep or other set representations for comparison.

Should this only be applicable to 2D systems or is the idea to have a decomposition as in BFFPSV18?

@mforets
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mforets commented Jul 9, 2019

If it is not too difficult, it would be good to have a "generic" algorithm that we can then also instantiate with H-rep or other set representations for comparison.

Ok, i'll have that in mind. Assuming that the "general" set can handle linear maps and M-sums (either concrete or lazy), the additional requirement is always an overapproximate methods which is closed under the given set representation.

Should this only be applicable to 2D systems or is the idea to have a decomposition as in BFFPSV18?

Interesting question. Yes, i think that the method can be used as a drop-in replacement. Different blocks need to use the same Whatk though (it can be computed by each process or shared).

@mforets mforets transferred this issue from JuliaReach/Reachability.jl Mar 31, 2020
@mforets mforets changed the title Reachability for linear 2D systems using vrep Reachability for linear systems using vrep Dec 23, 2020
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