... lists the simulation results obtained with the sufficient standard LMIconditions of Theorem 3.1 and with the sufficient dilated LMI conditions of Theorem 3.2. The advantage of using the dilated rather ... and ApplicationsLet us prove, for these four matrices above, that the second matrix is positive definitewhile the third and/ or the fourth matrices are both negative definite. Clearly, the standardconditions ... vector xt ∈ Rn, the perturbation vector t ∈ Rm, the input command vectorut ∈ Rq, the performance vector zt ∈ Rp, and the controlled output vector yt ∈ Rr ,and all the matrices A,...