Finding C1, C2 and P.

I have the following inequality

||11(x^2 - y^2) - 10(x^3 - x^3)|| <= L||x - y||

where L is the Lipschitz constant.

Here is a matrix A, which a Jacobian matrix:

A= [-(1 + 0.02 + C1) -1 -1; 1 -0.1 0; C2 0 0]

With another Matrix F containing only the Lipschitz constant L:

L= [L 0 0; 0 0 0; 0 0 0]

I wish to find values of C1 and C2 such that the following linear matrix inequalities exist:

P>0

P(1,1)<= b(where b bounds the following error term ||x -y|| such that ||x - y ||b <= 1. The initial values of x and y are -0.1 and 0.3 respectively.)

[A'P+PA+F'F P; P' -eye(3)]<0

P is a symmetric 3x3 matrix to be determined as well. eye is the identity matrix.

How do I go about this? I've tried using the LMItoolbox as I get it, yet there seems to be a missing line of code on my part.