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Hi!
I have this algebra problem that has been puzzling me.
I have this matrix multiplication:
where A and theta are a 3x3 matrix and a 3x1 vector, respectively, both dependent of x and D and S are 3x3 constant matrices.
A is a symmetric matrix, D is a diagonal matrix and S is a skew-symmetric matrix.
I need to arrange this into the form:
where C is a constant matrix and F(x) is a vector function of x. The dimensions of these matrix and vector are not important, as long as the result of the multiplication is 3x1.
I need to isolate the x dependent part on the right side of the term in order to apply a control algorithm.
Does anyone know how to do this?
Thanks!
Hi bobbym!
Indeed it is not a homework, I really need to understand the steps that lead to the answer.
I really appreciate your help and patience!
Ok. Thank you!
Thank you a lot gAr!
bobbym can you explain me the inequalities please?
Thank you gAr!
yes, the roots of the characteristic polynomial, I remember now!
I was trying to solve the inequalities of abs(r1)<1 and abs(r2)<1 but all I can get is:
with abs(r1)<1 I get:
which also gives
from abs(r2)<1 I get:
which gives
Is this right? I can't seem to make the final step to get what bobbym got.
Hi! Wow! thank you!
gAr can you explain me how you solved the recurrence to find that expression for ak (on post #2)?
Thanks!
Hi!
I have been stuck with this sequence:
I need to find an expression for the values of a and b for which the sequence converges to 0.
Any suggestion or solution would be very welcome!
Thank you!
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