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Stability of discrete-time systems in the simplest critical case

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Publication:1759535
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DOI10.3103/S1063454108030023zbMath1252.93092OpenAlexW2053808535MaRDI QIDQ1759535

Arkadiĭ Khaimovich Gelig

Publication date: 21 November 2012

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454108030023

zbMATH Keywords

stabilityLyapunov functiondiscrete-time systemsdifference equation


Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)




Cites Work

  • Global asymptotic stability for nonlinear difference equations
  • Criteria of stability by the first approximation for discrete nonlinear systems
  • The stability and control of discrete processes
  • Boundedness and stability of solutions to difference equations
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