Time response of modes to an impulse

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Turgut Ataseven 2022-5-23

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https://ww2.mathworks.cn/matlabcentral/answers/1725505-time-response-of-modes-to-an-impulse

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.