Bounds on the size of minimal nonnegative realizations for discrete-time LTI systems

DOI10.1016/S0167-6911(99)00005-5zbMath0917.93012OpenAlexW2004549766MaRDI QIDQ1292475

Christoforos N. Hadjicostis

Publication date: 21 June 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(99)00005-5

zbMATH Keywords

linear systemsminimal realizationDT impulse responsesnonnegative (positive) realizationnonnegative (positive) systems

Mathematics Subject Classification ID

Minimal systems representations (93B20)

Related Items (12)

Minimal eventually positive realizations of externally positive systems ⋮ An upper bound on the dimension of minimal positive realizations for discrete time systems ⋮ Unnamed Item ⋮ Minimal positive realizations: A survey ⋮ Minimal positive realizations for linear systems with two-different-pole transfer functions ⋮ An efficient algorithm for positive realizations ⋮ A construction method for positive realizations with an order bound ⋮ On the reachable set for third-order linear discrete-time systems with positive control ⋮ A constructive positive realization with sparse matrices for a continuous-time positive linear system ⋮ Computation of positive realizations for given impulse response matrices of discrete-time systems ⋮ A lower bound on the dimension of minimal positive realizations for discrete time systems ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On the existence of a positive realization
• About nonnegative realizations
• Realization of positive linear systems
• A note on minimality of positive realizations

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