We consider the general problem of computing intervals that contain the real eigenvalues of interval matrices. Given an outer estimation of the real eigenvalue set of an interval matrix, we propose a filtering method that improves the estimation. Even though our method is based on an sufficient regularity condition, it is very efficient in practice, and our experimental results suggest that, in...

In this paper, the eigenvalue problem of real symmetric interval matrices is studied. First, in case $2 \times 2$ matrices, all four endpoints two intervals are determined. These not necessarily eigenvalues vertex but it shown that such a matrix can be constructed from original one. Then, necessary and sufficient conditions provided for disjointness intervals. general $n\times n$ case, due to H...

Let M(A) denote the comparison matrix of a square H-matrix A, that is, M(A) is an M-matrix. Hmatrices such that their comparison matrices are non-singular are well studied in the literature. In this paper, we study characterizations of H-matrices with either singular or non-singular comparison matrices. The spectral radius of the Jacobi matrix of M(A) and the generalized diagonal dominance prop...

This letter proposes a novel robust interval observer for two-dimensional (treated as synonym double-indexed system) linear time-invariant discrete-time system described by the Fornasini-Marchesini second model. is subject to unknown but bounded state disturbances and measurement noise. Built on recent estimation strategies designed one-dimensional systems, proposed based introduction of weight...