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The paper is devoted to the problem of robust stability of positive continuous-time linear systems with delays with structured perturbations of state matrices. Simple necessary and sufficient conditions for robust stability in the general case and in the case of systems with a linear uncertainty structure in two sub-cases: (i) a unity rank uncertainty structure and (ii) nonnegative perturbation matrices are established. The problems are illustrated with numerical examples.

Rotation numbers for Jacobi matrices with matrix entries.

Schulz-Baldes, Hermann (2007)

Mathematical Physics Electronic Journal [electronic only]

Schur complements of diagonally dominant matrices

David Carlson, Thomas L. Markham (1979)

Czechoslovak Mathematical Journal

Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of matrices.

Zhang, Cheng-Yi, Luo, Shuanghua, Xu, Chengxian, Jiang, Hongying (2009)

ELA. The Electronic Journal of Linear Algebra [electronic only]

Schur multiplier characterization of a class of infinite matrices

A. Marcoci, L. Marcoci, L. E. Persson, N. Popa (2010)

Czechoslovak Mathematical Journal

Let $B_{w} (ℓ^{p})$ denote the space of infinite matrices $A$ for which $A (x) \in ℓ^{p}$ for all $x = {x_{k}}_{k = 1}^{\infty} \in ℓ^{p}$ with $| x_{k} | ↘ 0$ . We characterize the upper triangular positive matrices from $B_{w} (ℓ^{p})$ , $1 < p < \infty$ , by using a special kind of Schur multipliers and the G. Bennett factorization technique. Also some related results are stated and discussed.

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Remark to a problem on 0-1 matrices

Remarks on doubly substochastic rectangular matrices

Remarks on eigenvalues of infinite matrices

Remarks on the rows and columns of $P$ in the matrix equation $A = P P^{*}$

Remarques sur les matrices orthogonales (resp. symétriques) à coefficients $p$ -adiques

Répartition des zéros des fonctions $L$ et matrices aléatoires

Reverses of the Golden-Thompson type inequalities due to Ando-Hiai-Petz.

Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.

Robust stability of positive continuous-time linear systems with delays

Rotation numbers for Jacobi matrices with matrix entries.

Schur complements of diagonally dominant matrices

Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of matrices.

Schur multiplier characterization of a class of infinite matrices

Second order freeness and fluctuations of random matrices. III: Higher order freeness and free cumulants.

Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model.

Semigroups of finite matrices.

Several matrix Euclidean norm inequalities involving Kantorovich inequality.

Shells of matrices in indefinite inner product spaces.

Sign patterns that allow eventual positivity.

Sign patterns that require a positive or nonnegative left inverse.

Currently displaying 701 – 720 of 941