MATLAB: Is P=lmivar(1,[2,1;2,0])

01.22is p=lmivar(1

I am solving an LMI where the matrix variable P must be

Is P=lmivar(1,[2,1;2,0])?

Best Answer

No, lmivar type 1 is for symmetric block diagonal, and your system is not symmetric. You would need a type 3 . See https://www.mathworks.com/help/robust/ref/lmivar.html#f10-171687

Related Solutions

MATLAB: Hello how to create this matrix with specific diagonals

Use toeplitz:

>> n = 5;
>> toeplitz([2,-1,zeros(1,n-2)])
ans =
   2  -1   0   0   0
  -1   2  -1   0   0
   0  -1   2  -1   0
   0   0  -1   2  -1
   0   0   0  -1   2

MATLAB: Matrix[1,1,1,1;-1,-1,-1,-1;1,1,1,1] to vector[1,1,1,1,-1,-1,-1,-1,1,1,1,1]

I believe you intended semicolons (;) instead of colons (:) in your matrix definition.

To convert it to a vector, use the reshape function:

Matrix = [1,1,1,1; -1,-1,-1,-1; 1,1,1,1];
Vector = reshape(Matrix', 1, [])
Vector =
       1     1     1     1    -1    -1    -1    -1     1     1     1     1

EDIT — Added output of ‘Vector’.

Best Answer

Related Solutions

MATLAB: Hello how to create this matrix with specific diagonals

MATLAB: Matrix[1,1​,1,1;-1,-1​,-1,-1;1,1​,1,1] to vector[1,1​,1,1,-1,-1​,-1,-1,1,1​,1,1]

Related Question

MATLAB: Matrix[1,1,1,1;-1,-1,-1,-1;1,1,1,1] to vector[1,1,1,1,-1,-1,-1,-1,1,1,1,1]