Construction of Lyapunov functions in the form of pencils of quadratic forms

DOI10.1007/S10958-019-04534-0zbMath1429.37017OpenAlexW2980478054WikidataQ127026265 ScholiaQ127026265MaRDI QIDQ2284392

I. M. Hrod, V. L. Kulyk

Publication date: 15 January 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04534-0

zbMATH Keywords

quadratic formsalternating Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\)
• On the reducibility of almost periodic systems of linear differential equations
• Construction of Lyapunov functions in the theory of regular linear extensions of dynamical systems on a torus
• Relationship between the Green and Lyapunov functions in linear extensions of dynamical systems
• Green–Samoilenko operator in the theory of invariant sets of nonlinear differential equations
• PRESERVATION OF AN INVARIANT TORUS UNDER PERTURBATION
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