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Computing reachable states of dynamical systems in Julia

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- Closes #298 for GLGM06 algorithm. - Starts from branch dfcaporale/328.

The test "Switched affine system" was included in `test/flowpipes.jl`. It consists of an affine switched time with deterministic and non-deterministic switching. The analytical solutions for extreme cases are calculated and...

ref notebook : https://nbviewer.jupyter.org/github/mforets/escritoire/blob/master/2020/Week36/Multistable_Oscillator.ipynb

For instance we can add the thermostat model.

documentation

The following fails with the `ClockedThermostat` model: ```julia #y = model(convert(Hyperrectangle, o["X0"] × Interval(0.0, 0.0))) y = model(o["X0"] × Interval(0.0, 0.0)) sol′ = solve(y, T=10.0, alg=BOX(δ=0.01), fixpoint_check=false); tspan(sol′) MethodError: no...

bug

http://spaceex.imag.fr/sites/default/files/hscc123f-frehse.pdf

algorithm

https://arxiv.org/abs/1905.02458

algorithm

as we saw with @dfcaporale, @SebastianGuadalupe, the new methods "vrep" / "cpa" are better than recursively using the o.a. of the lazy CH . notebook https://github.com/mforets/escritoire/blob/master/2020/Week33/Zonotope_OA.ipynb

still needs more work on the LazySets side, but will allow to use, e.g. `_is_intersection_empty(Z::Zonotope{N}, H::Hyperplane{N}, ::Val{false}) where {N}` directly.