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

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Jeffrey Eiyike 2016-7-22

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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.

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Jeffrey Eiyike 2016-7-22

编辑：Jeffrey Eiyike 2016-7-22

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 2016-7-23

@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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