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do you know how to best calculate

[itex]

q(t) = \int_0^t \exp(A(s))v_0 ds

[/itex]

where [itex]A(s)[/itex] is a low order matrix polynomial in s, and v_0 is a constant vector of suitable dimension? I can of course use a general ODE solver, but I want to understand how small perturbations in A affect the final result. In particular I want to use something like

[itex]

A(s) = A_1(1-s) + A_2s + A_{12}s(1-s),

[/itex]

where the different A matrices are antisymmetric and do not generally commute (if they did commute the problem would not be very difficult).

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# Solution for integral_0^t exp(A(s))x ds?

Can you offer guidance or do you also need help?

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