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Matrix conditions for the stability of 2D dynamics

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Publication:1582328
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DOI10.1007/BF01204573zbMath0962.93076OpenAlexW2077890233MaRDI QIDQ1582328

Tatsushi Ooba

Publication date: 3 October 2000

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01204573


zbMATH Keywords

stabilitydiscrete system2D systemoverflow oscillations


Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20)


Related Items (2)

Quadratic stability of two-dimensional dynamics ⋮ Stability of multidimensional nonnegative systems



Cites Work

  • Characterization of operations derived from network connections
  • On the simultaneous diagonal stability of linear discrete-time systems
  • Series and parallel addition of matrices
  • Digital filter realizations without overflow oscillations
  • Stability analysis of 2-D systems
  • 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model
  • On robust stability of 2-D discrete systems
  • On stability robustness of 2-D systems described by the Fornasini-Marchesini model


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