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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.

Röhmel's equation for quadratic forms.

T.M.K. Davison (1987)

Aequationes mathematicae

Rotation du sous-espace invariant d’un endomorphisme symétrique de $𝐑^{n}$ par une perturbation symétrique

B. Escofier, B. Le Roux (1975)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Rotation numbers for Jacobi matrices with matrix entries.

Schulz-Baldes, Hermann (2007)

Mathematical Physics Electronic Journal [electronic only]

Round Quadratic Forms.

Murray Marshall (1974)

Mathematische Zeitschrift

Row Hadamard majorization on $𝐌_{m, n}$

Abbas Askarizadeh, Ali Armandnejad (2021)

Czechoslovak Mathematical Journal

An $m \times n$ matrix $R$ with nonnegative entries is called row stochastic if the sum of entries on every row of $R$ is 1. Let $𝐌_{m, n}$ be the set of all $m \times n$ real matrices. For $A, B \in 𝐌_{m, n}$ , we say that $A$ is row Hadamard majorized by $B$ (denoted by $A ≺_{R H} B)$ if there exists an $m \times n$ row stochastic matrix $R$ such that $A = R \circ B$ , where $X \circ Y$ is the Hadamard product (entrywise product) of matrices $X, Y \in 𝐌_{m, n}$ . In this paper, we consider the concept of row Hadamard majorization as a relation on $𝐌_{m, n}$ and characterize the structure of all linear operators $T : 𝐌_{m, n} \to 𝐌_{m, n}$ preserving (or...

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Resolutions of Modules Over the Steenrod Algebra and the Cassical Theory of Invariants.

Resultanten von Covarianten

Résultats récents sur la théorie des formes quadratiques

Reverse order law for the Moore-Penrose inverse in $C^{*}$ -algebras.

Reverse rearrangement inequalities via matrix technics.

Reverse triangle inequality in Hilbert $C^{*}$ -modules.

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

Revêtements «spinoriels» du groupe symplectique et indices de Maslov

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

Robust H control for a class of uncertain neutral systems with both state and control input time-varying delays via a unified LMI optimization approach

Robust performance results for discrete-time systems.

Robust stability of positive continuous-time linear systems with delays

Röhmel's equation for quadratic forms.

Rotation du sous-espace invariant d’un endomorphisme symétrique de $𝐑^{n}$ par une perturbation symétrique

Rotation numbers for Jacobi matrices with matrix entries.

Round Quadratic Forms.

Row Hadamard majorization on $𝐌_{m, n}$

Sätze über Determinanten und Anwendung derselben zum Beweise der Sätze von Pascal und Brianchon.

Schatten norms of Toeplitz matrices with Fisher--Hartwig singularities.

Schur complements and Banachiewicz-Schur forms.

Currently displaying 2221 – 2240 of 3023