Real Analysis on matlab

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Jeffrey Eiyike
Jeffrey Eiyike 2016-7-23
Let me cite an example... here..
w_upper= [7 10.5 13 28 28 28 40.5] % 7x1 upper limit
w_lower=[-7 -4 -1 21.5 21.5 21.5 34.9110] % 7x1 lower limit
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.
EW \subset interior{BU}
xdot = Bu(t)-Ew(t)
u is a 9x1
E is an identity matrix.
x is a 7x1
1 0 0 -1 0 0 0 0 0;
0 1 0 0 -1 0 0 0 0;
0 0 1 0 0 -1 0 0 0;
1 1 0 0 0 0 -1 0 0;
1 0 1 0 0 0 0 -1 0;
0 1 1 0 0 0 0 0 -1;
1 1 1 0 0 0 0 0 0;
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..

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