Iterations of continuous mappings on metric spaces Asymptotic stability and Lyapunov functions

DOI10.1080/00207727908941626zbMath0425.93027OpenAlexW1976077083MaRDI QIDQ3861234

Martin Ziehe, Hans-Rolf Gregorius

Publication date: 1979

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727908941626

zbMATH Keywords

asymptotic stabilitydifference equationsLyapunov functions

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)

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Cites Work

• Unnamed Item
• Über die Anwendung der Methode von Ljupanov auf Differenzengleichungen
• A Characterization of Local Convergence for Fixed Point Iterations in $R^1 $
• Stability of non-linear discrete-time systems
• Stability of Difference Equations and Convergence of Iterative Processes
• Some Stability Theorems for Ordinary Difference Equations
• On Iteration of Mappings of a Metric Space Onto Itself

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