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

DOI10.1134/S0012266119100045zbMath1440.93196OpenAlexW2986668335MaRDI QIDQ2304399

I. N. Sergeev

Publication date: 11 March 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119100045

zbMATH Keywords

linear systemsLyapunov stabilityPerron stabilityphase domain

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

Studying the Perron and Lyapunov stability properties by the first approximation ⋮ Classes of linear approximations providing different stability or instability types of differential systems ⋮ Unnamed Item ⋮ An example of complete but not global Perron instability

Cites Work

• Definition and some properties of Perron stability
• Perron stability and its study at the first approximation
• A proof of the attainability of the central exponents of linear systems
• Unnamed Item
• Unnamed Item

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