I have to calculate first 10 moments for vibrating string with damping, but I don't know how to do it. I read about moments and in definition they mention linear system x′=Ax+Bu,y=Cx with transfer function W(s)=C(sI−A)−1B. Then kth moment of a system above is C(sI−A)−(k+1)B. But for a vibrating string I know only wave equation Mx″ How to transform it to linear system?
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