Reachability and Holdability of Nonnegative States
From MaRDI portal
Publication:3624861
DOI10.1137/070693850zbMath1159.93004OpenAlexW2145904359MaRDI QIDQ3624861
Michael J. Tsatsomeros, Dimitrios Noutsos
Publication date: 30 April 2009
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070693850
convex coneeventually nonnegative matrixPerron-FrobeniusMetzler matrixexponentially nonnegative matrixpoint of nonnegative potential
Positive matrices and their generalizations; cones of matrices (15B48) Iterative numerical methods for linear systems (65F10) Attainable sets, reachability (93B03)
Related Items (29)
Potential eventual positivity of sign patterns with the underlying broom graph ⋮ Minimal eventually positive realizations of externally positive systems ⋮ Positivity for non-Metzler systems and its applications to stability of time-varying delay systems ⋮ Evolution equations with eventually positive solutions ⋮ Eventually and asymptotically positive semigroups on Banach lattices ⋮ Iterative Method for Linear System with Coefficient Matrix as an $$M_\vee $$ M ∨ -matrix ⋮ Towards a Perron-Frobenius theory for eventually positive operators ⋮ Spectrum and convergence of eventually positive operator semigroups ⋮ Unnamed Item ⋮ Spectral properties of locally eventually positive operator semigroups ⋮ On the monotonicity of solutions of nonlinear systems with respect to the initial conditions ⋮ Pseudoinverses of Signed Laplacian Matrices ⋮ On numerical ranges of matrices with Perron-Frobenius properties and some negative entries ⋮ EVENTUAL POSITIVITY AND ASYMPTOTIC BEHAVIOUR FOR HIGHER-ORDER EVOLUTION EQUATIONS ⋮ Eventual cone invariance revisited ⋮ On the exploitation of a population given by a system of linear equations with random parameters ⋮ Finite-time general function consensus for multi-agent systems over signed digraphs ⋮ Potentially eventually positive broom sign patterns ⋮ THE ROLE OF DOMINATION AND SMOOTHING CONDITIONS IN THE THEORY OF EVENTUALLY POSITIVE SEMIGROUPS ⋮ Potentially Eventually Positive 2-generalized Star Sign Patterns ⋮ Eventually positive semigroups of linear operators ⋮ Nonnegative and eventually positive matrices ⋮ An algorithm to study the nonnegativity, regularity and stability via state-feedbacks of singular systems of arbitrary index ⋮ On the numerical characterization of the reachability cone for an essentially nonnegative matrix ⋮ Recursive rank one perturbations for pole placement and cone reachability ⋮ On the Block Structure and Frobenius Normal Form of Powers of Matrices ⋮ Matrices whose powers eventually have certain properties ⋮ On eventual non-negativity and positivity for the weighted sum of powers of matrices ⋮ On some generalized inverses of M_∨-matrices
This page was built for publication: Reachability and Holdability of Nonnegative States