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Reachability and Safety of Nondeterministic Dynamical Systems

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This shows some of the steps needed for #738. The main step that is missing is to support the new version of the `Taylor*` packages.

At least on my system the following test code crashes with a Julia bug (Unreachable reached, signal (4): Illegal instruction). https://github.com/JuliaReach/Reachability.jl/blob/6fb396dbb6f2780362e0960978492d845738517a/test/ReachSets/unit_discretization.jl#L151-L161 I tried to debug it and apparently there is...

external

simplification
refactoring

LazySets now has concrete set types for the linear constraint array in the common polyhedral types. Also, the zonotope has type parameters for its center and generators matrix. In consequence,...

In https://github.com/JuliaReach/Reachability.jl/issues/516 we added discretization of a linear system using the matrix interval remainder for the case when `A` is an interval matrix. The same method applies if `A` is...

extension

```julia ERROR: Unsatisfiable requirements detected for package TaylorIntegration [92b13dbe]: TaylorIntegration [92b13dbe] log: ├─possible versions are: [0.4.0-0.4.1, 0.5.0-0.5.1, 0.6.0-0.6.1, 0.7.0-0.7.1] or uninstalled ├─restricted to versions 0.7.0-0.7 by TaylorModels [314ce334], leaving only...

fix

MWE: ```julia using TaylorIntegration, MathematicalSystems, HybridSystems, SparseArrays using Revise, Reachability function EMBrake_hibrid() # the state variables are: # [I, x, T, xe, xc] # model's constants L = 1.e-3; KP...

bug