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Question: Integration with multiple time dependencies

Question:Integration with multiple time dependencies

Dennis_B 5 Maple
matrix ode symbol int
September 23 2011
0

hi all,

To create an observability grammian I have to integrate a matrix with some equations that are difficult to integrate due to multiple time dependent variables. The simplest expression in the matrix is:

z1^2 * sin( z5 * t)^2          (1)

where z1 and z5 are from a state space model with 5 states and are given by:

z1dot = z2                                   (2)

z5dot = v / g * z4^2            (3)

So I have to integrate equation (1) with respect to time, but besides t, (1) also contains z1 and z5 with time derivatives given in (2) and (3). How can I best tackle this problem? So that I get a symbolic solution. Thanks in advance.

Kind Regards,

Dennis
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