Solving a Delay Differential Qquations that involves a mass matrix

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Furkan
Furkan 2022-12-4
编辑： Torsten 2022-12-4
I have a DAE system with constant time delay that involves mass matrix (i cannot invert the matrix because it's singular). Now, without a delay, Matlab could solve it with ode23s but i really don't know how should i proceed with the current situation, because dde23 has no option for mass matrix. Thanks in advance.
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Torsten
Torsten 2022-12-4
编辑：Torsten 2022-12-4
I think you must have misunderstood something in the setup.
Your second equation reads 0=0 which can't be what you want.
It will be best to include the equations in mathematical notation, not as MATLAB code in order to avoid further errors.
Furkan
Furkan 2022-12-4
Hello sir, this is a homework i am trying to do, so i might have some miscalculations on the mathematical model, i come up with 2 different Eq systems which can be true, since you said first one is wrong, it should be the second one i find. Here is the model:
However when i implement this into code, the issue i am dealing with still there: i cannot inverse the first matrix to leave X_Dot alone. I need to describe this matrix as Mass matrix. Normally i could do it with ode23s, but this system has a time delay, so ode won't work with it and dde23 has nor option for mass matrix. I hope i could adress my problem here. Thank you for your time.

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Torsten
Torsten 2022-12-4
编辑：Torsten 2022-12-4
Write out your system and you will find that
x3 = x6 = x7 = x8 = x9 = 0
and you are left with the equations
x1(t) = sin(2*pi*f*t)
-x4(t) + x5(t-tau) = 0
x4(t-tau) - x5(t) = 0
-x1(t) + x2(t) = 0
So no differential equations are left.
Better use pencil and paper than MATLAB to solve them.

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