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Remarks on three types of asymptotic stability

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Publication:5940884
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DOI10.1016/S0167-6911(00)00099-2zbMath0974.93043OpenAlexW2046337985MaRDI QIDQ5940884

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Publication date: 20 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(00)00099-2

zbMATH Keywords

dynamical systemsLyapunov stabilityasymptotic stabilityOmega limit setPoincaré stabilityZhukovskij stability


Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)


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Review on contraction analysis and computation of contraction metrics, Transverse contraction criteria for existence, stability, and robustness of a limit cycle



Cites Work

  • Lyapunov asymptotic stability and Zhukovskij asymptotic stability
  • Local instability and localization of attractors. From stochastic generator to Chua's systems
  • Perspectives of Nonlinear Dynamics
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