The Geometry of the Reachability Set for Linear Discrete-time Systems with Positive Controls

DOI10.1137/040612531zbMath1111.37068OpenAlexW2076444099MaRDI QIDQ3435000

Lorenzo Farina, Luca Benvenuti

Publication date: 3 May 2007

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040612531

zbMATH Keywords

discrete-time systemsdynamical systems in controlpositive matrices and their generalizations

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Positive matrices and their generalizations; cones of matrices (15B48) Dynamical systems in control (37N35)

Related Items (6)

Positive output/state maps and quasi-positive realization of MIMO discrete systems ⋮ On the problem of optimal speed for the discrete linear system with bounded scalar control on the basis of 0-controllability sets ⋮ On the reachable set for third-order linear discrete-time systems with positive control ⋮ On the reachable set for third-order linear discrete-time systems with positive control: the case of complex eigenvalues ⋮ Linear Positive Systems May Have a Reachable Subset from the Origin That is Either Polyhedral or Nonpolyhedral ⋮ The inverse eigenvalue problem for Leslie matrices

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