The use of Lyapunov's second method to estimate regions of stability and attraction

DOI10.1016/0021-8928(84)90053-4zbMath0597.34055OpenAlexW2056131513MaRDI QIDQ1078744

V. G. Veretennikov, V. V. Zajtsev

Publication date: 1984

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90053-4

zbMATH Keywords

stability regionLyapunov's second methodnon-autonomous systemsLyapunov's definition of sets of sizable measure

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Cites Work

• The necessary and sufficient conditions of stability in the large
• Stability theory and the existence of periodic solutions and almost periodic solutions
• The multiplier method of Hestenes and Powell applied to convex programming
• Novel development of Lyapunov stability of motion
• On the stability of motion
• Stability theory of dynamical systems.
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