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Time response of modes to an impulse

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Turgut Ataseven
Turgut Ataseven on 23 May 2022
Hi.
For a 4x4 plant matrix, I want to see the time response of short period mode and phugoid mode of an aircraft for an initial perturbation, respectively. I have 2 roots of the plant matrix for both short period mode and phugoid mode and corresponding period times. How can I plot the responses of the 4 variables with specified initial conditions for an elevator angle deflection?
Thanks.

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