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In such problem, the controller, which is in descriptor form, is found such that : - The closed-loop transfer matrix is strictly proper and has minimum H2-norm.
This approach provides the possibility to propagate continuous or discrete probability density functions and also histograms (data sets) as long as their moments exist, are finite and the determinant of the moment matrix is strictly positive.
Reference [1] gives six algorithms for determining whether a given symmetric matrix is strictly copositive, copositive (but not strictly), or not copositive.
Li, Tsatsomeros and Ikramov independently proved the Schur complement of a strictly doubly diagonally dominant matrix is strictly doubly diagonally dominant (see [7, 8]).
According to [5, 6], a matrix is called a diagonally dominant one, if for any,, and a square matrix is strictly (row) diagonally dominant if for each.
For the matched covariance matrix case, the channel is generated by h = Rz to ensure that its covariance matrix is strictly equal to K h.
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As is well known, the diagonal-Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant.
In addition, Liu and Huang [3] proposed that the diagonal-Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant, the same is true for strictly γ-diagonally dominant matrices and strictly product γ-diagonally dominant matrices.
As is shown in [1, 2], the Schur complements of positive semidefinite matrices are positive semidefinite and the Schur complements of strictly diagonally dominant matrices are strictly diagonally dominant, the same is true for M-matrices, H-matrices, inverse M-matrices, strictly doubly diagonally dominant matrices and generalized strictly diagonally dominant.
The matrix A is strictly diagonally dominant by row.
As (2|lambda_{1}| < |lambda_{0}|), the tridiagonal matrix A is strictly diagonally dominant by rows.
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