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test/linearize.jl

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using ModelingToolkit, ADTypes, Test
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using CommonSolve: solve
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4-
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# Test reorder_unknowns
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# sys = ssrand(1,1,4);
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mats = let
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A = [-1.617708540405859 0.14199864151523162 1.8120551022076838 -1.246419696614408; 0.6704209450894298 -2.4251566699889575 0.6782529705706082 -1.3731519847672025; -0.09336677360807291 -0.11211714788917712 -3.6877851408229523 -0.7073967284605489; -1.1743200892334098 1.1808779444006103 1.5721685015907167 -0.10858833182921268]
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A = [-1.617708540405859 0.14199864151523162 1.8120551022076838 -1.246419696614408;
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0.6704209450894298 -2.4251566699889575 0.6782529705706082 -1.3731519847672025;
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-0.09336677360807291 -0.11211714788917712 -3.6877851408229523 -0.7073967284605489;
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-1.1743200892334098 1.1808779444006103 1.5721685015907167 -0.10858833182921268]
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B = [-0.3286766047686936; -1.8473436385672866; -2.4092567234250954; -0.06371974677173559;;]
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C = [-0.7144567541084362 0.18898849455229796 0.023473101245754475 1.0369097263843963]
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D = [0.6397583934617636;;]
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(; A, B, C, D)
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end
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@variables x1 x2 x3 x4
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new = [x4,x1,x3,x2]
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old = [x1,x2,x3,x4]
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new = [x4, x1, x3, x2]
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old = [x1, x2, x3, x4]
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lsys = ModelingToolkit.reorder_unknowns(mats, old, new)
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P = [0 1 0 0; 0 0 0 1; 0 0 1 0; 1 0 0 0]
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@test isequal(P*new, old)
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@test lsys.A == ModelingToolkit.similarity_transform(mats, P).A
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22-
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# r is an input, and y is an output.
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@independent_variables t
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@variables x(t)=0 y(t)=0 u(t)=0 r(t)=0

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