Laplace inverse of a 24x24 matrix

I am trying to find out the inverse laplace transform of state transition matrix obtained by using inv(S*I-A). where I is the identity matrix and A is state space matrix(24x24 matrx).

I have used syms S.

I have tried the same method to another matrix A=rand(24) and in both cases the simulation is taking a long time.

Can anyone help me in reolving this issue.

Answer 1

[Abhishek Gupta]

Hi,

Referring to the following resources, which might help you in resolving the issue: -

1. https://www.mathworks.com/matlabcentral/answers/443439-slow-ilapalce-calculation-for-systems-with-higher-polynomial-orders
2. https://www.mathworks.com/matlabcentral/answers/444445-finding-inverse-laplace-transforms-using-matlab