Application of the Lyapunov vector functions to the stability study of fixed points in the sets of discrete dynamic systems

DOI10.1134/S0005117917100022zbMath1387.93118OpenAlexW2763557132MaRDI QIDQ683449

Vitalii I. Slyn'ko

Publication date: 6 February 2018

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117917100022

zbMATH Keywords

mixed volumescomparison methoddiscrete dynamic systemLyapunov vector function

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05)

Cites Work

• Robust stability of systems of linear differential equations with periodic impulsive influence
• A counterpart of A. M. Molchanov's critical case for impulse systems
• On stability in nonlinear approximation of systems of impulsive differential equations
• An Embedding Theorem for Spaces of Convex Sets
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