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how can i compute the interior of a vector product of two sets.

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Jeffrey Eiyike
Jeffrey Eiyike am 22 Jul. 2016
Geschlossen: MATLAB Answer Bot am 20 Aug. 2021
W is a subset of int BU------ condition 1
BU--- Image of U with respect to the linear mapping associated to the matrix B
w is known
B is known
i want to compute U such that condition 1 is met.
  10 Kommentare
Jeffrey Eiyike
Jeffrey Eiyike am 22 Jul. 2016
Bearbeitet: Jeffrey Eiyike am 22 Jul. 2016
Let me cite an example... here..
w_upper= [7 10.5 13 28 28 28 40.5] % 7x1
w_upper=[-7 -4 -1 21.5 21.5 21.5 34.9110] % 7x1
B is the initial Matrix i posted. 7 by 9 matrix
**W is a proper subset of interior of ( the image of U with respect to linear mapping associated with matrix B.
xdot=Bu(t)-Ew(t)
u is a 9x1
E is an identity matrix.
x is a 7x1
BU is the image of U with respect to the linear mapping associated to the matrix B.
While select the upper and lower limit the condition in the picture must be met..
All i want to achieve is an upper and lower limit for u(t) such that the condition *** is met. Also if u and w has a upper and lower limit then x should also have a limit..
Am sorry for the inconvinience.. thats the example...
Jeffrey Eiyike
Jeffrey Eiyike am 23 Jul. 2016
@John, A={the image of U through a linear mapping B}.
*And W
w_upper= [7 10.5 13 28 28 28 40.5] % 7x1
w_lower=[-7 -4 -1 21.5 21.5 21.5 34.9110] % 7x1
should be a subset of the interior A stated above.. So the upper and lower bound of u should satisfy the condition ***
xdot= Bu - W
x should also have an upper and lower limit

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