Geometrical conditions for the reachability and realizability of positive periodic discrete systems

DOI10.1016/S0024-3795(97)81113-5zbMath0873.93020MaRDI QIDQ1355230

Carmen Coll, Elena Sánchez, Rafael Bru, Vicente G. Hernández

Publication date: 19 May 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

realizabilityMarkov parameterspolyhedral conesnonnegative periodic matricesnonnegative reachability

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Attainable sets, reachability (93B03) Realizations from input-output data (93B15)

Related Items (6)

Minimal positive realizations: A survey ⋮ Reachability indices of periodic positive systems via positive shift-similarity ⋮ Canonical forms for positive discrete-time linear control systems ⋮ On positive behaviour of periodic control systems ⋮ Positive \(N\)-periodic descriptor control systems ⋮ Structural properties of positive periodic discrete-time linear systems: Canonical forms

Cites Work

• Positive input reachability and controllability of positive systems
• Monomial patterns in the sequence A kb
• Structural properties of discrete-time linear positive periodic systems
• About nonnegative realizations
• Discrete-time linear periodic realization in the frequency domain
• Reachability, Observability, and Realizability of Continuous-Time Positive Systems
• Symbiosis points for linear differential systems
• Cone reachability for linear differential systems
• Positive realization of difference equations
• Linear feedback, irreducibility, and M-matrices
• Discussion on: ``Computation of Kalman decompositions of periodic systems
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