Structural properties of positive periodic discrete-time linear systems: Canonical forms

DOI10.1016/S0096-3003(03)00665-9zbMath1055.93013OpenAlexW2131399659MaRDI QIDQ1827042

Rafael Bru, Elena Sánchez, Sergio Romero

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00665-9

zbMATH Keywords

controllabilityreachabilitycanonical formscolored graphscolored union of directed graphscolored verticespositive invariant cyclically augmented systempositive periodic linear dynamic systems

Mathematics Subject Classification ID

Applications of graph theory (05C90) Controllability (93B05) Discrete-time control/observation systems (93C55) Canonical structure (93B10) Attainable sets, reachability (93B03)

Related Items (5)

State-Space Realizations of Periodic Convolutional Codes ⋮ The steady-state impedance operator of a linear periodically time-varying one-port network and its determination ⋮ On \(K\)-positivity properties of time-invariant linear systems subject to discrete point lags ⋮ Input–output gain analysis of positive periodic systems ⋮ About \(K\)-positivity properties of time-invariant linear systems subject to point delays

Cites Work

• Positive input reachability and controllability of positive systems
• Monomial patterns in the sequence A kb
• Interlacing and majorization in invariant factor assignment problems
• Structural properties of discrete-time linear positive periodic systems
• Fast projection methods for minimal design problems in linear system theory
• Geometrical conditions for the reachability and realizability of positive periodic discrete systems
• Canonical forms for positive discrete-time linear control systems
• Controllability of positive linear discrete-time systems
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