An example of complete but not global Perron instability

DOI10.3103/S0027132221020030zbMath1471.93206OpenAlexW3171372485MaRDI QIDQ1980456

A. A. Bondarev

Publication date: 8 September 2021

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132221020030

zbMATH Keywords

nonlinear systemsdifferential equationsPerron stability

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (5)

Example of a differential system with complete Perron and upper-limit instability but massive partial stability ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Two Contrasting Examples of Multidimensional Differential Systems with Lyapunov Extreme Instability ⋮ On the existence of a globally Lyapunov unstable differential system all of whose solutions tend to zero as time tends to infinity

Cites Work

• Dependence and independence of the Perron and Lyapunov stability properties on the system phase domain
• Definition and some properties of Perron stability

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