Export to Exodus file programmatically similar to can.ex2 example in Paraview

Question

I have a similar question to Writing an Exodus II file programmatically. The linked question has still no accepted answer.

I am performing numerical simulations in MATLAB. My output consists of polyhedra in 3d space and I know the displacement for every vertex in terms of a displacement vector for a finite number of time steps. I would like to visualize the displacement as an animation in Paraview. On YouTube I found a tutorial on animations for the can.ex2 example in Paraview.

Therefore, I would like to export my data (i.e. initial vertex positions + displacement for each time step) to Exodus 2 format or similar. If possible, I would like to avoid any existing library and write the file myself in MATLAB. I was already successful with .vtk/.vti/.obj/... writers for other parts of my project.

Can someone recommend a comprehensive description on how the .ex2 files should be written and/or code that I can orientate myself on? Unfortunately, I was not very successful with my own research. I am also open for suggestions of similar file formats that would be sufficient for my plans.

Edit Because I was asked for a code example:

% Vertices of unit triangle contained in (x,y)-plane
initialVertexPos = [0, 1, 0;
                    0, 0, 1;
                    0, 0, 0];
nVertices = size(initialVertexPos, 2);

% Linear displacement of all vertices along z-axis
nTimeSteps = 10;    
disp_x = zeros(nTimeSteps, nVertices);
disp_y = zeros(nTimeSteps, nVertices);
disp_z = repmat(linspace(0,1,nTimeSteps)', 1, nVertices); 

% Position of vertex kVertex at time step kTime is given by
% initialVertexPos(:,kVertex) + [disp_x(kTime,kVertex); disp_y(kTime,kVertex); disp_z(kTime,kVertex)]