y(t)= a*t*exp(-a*t); z=summatio​n(A(i)*y(t​-T(i)).sum​mation from i=1 to J. i need to partially differentiate z wrt A() and T()

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KOMALA PAWAR
KOMALA PAWAR 2016-3-26
回答： Ced 2016-3-26
for the above equation i need to partially differentiate z wrt A() and T() . how do i include the summation in matlab code.
Thank you in advance
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KOMALA PAWAR
KOMALA PAWAR 2016-3-26
y(t)= a*t*exp(-a*t); z=summation(A(i)*y(t-T(i)).summation from i=1 to J. i need to partially differentiate z wrt A() and T().

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Ced
Ced 2016-3-26
And you want to do this symbolically? Looks to me that this would be a possibility:
1. create a variable for each summation index. You can do this e.g. using the syntax
a_vec = sym('a',1:J);
See Symbolic Variables Documentation
2. define the term z = sum(....)
3. differentiate w.r.t each variable, either in a loop, or in vector form using the jacobian function. See here:
Jacobian documentation

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