Method of the application of matrix functions in stability theory

DOI10.1007/BF01890824zbMath0664.70032OpenAlexW2084975923MaRDI QIDQ3815600

Yu. N. Krapivnyi, Anatoly Martynyuk

Publication date: 1988

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01890824

zbMATH Keywords

direct methodsufficient conditionsLyapunov's vector functionquasimonotonicity conditionstability theory of large-scale system

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20)

Related Items (3)

Forms of aggregation in the study of the stability of motion of large-scale systems. Criteria of stability. (Review) ⋮ Stability of large-scale discrete systems under structural perturbations ⋮ 40 years of the direct matrix-valued Lyapunov function method (review)

Cites Work

• Lyapunov stability and sign definiteness of a quadratic form in a cone
• Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions
• The Lyapunov matrix-function
• The Lyapunov matrix-function and stability of hybrid systems
• Stability analysis of large-scale systems with stable and unstable subsystems
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