Forms of aggregation of nonlinear systems. Domains of asymptotic stability (review)

DOI10.1007/BF02086730zbMath0925.70212OpenAlexW2092769995MaRDI QIDQ1268999

Anatoly Martynyuk

Publication date: 8 November 1999

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

Full work available at URL: https://doi.org/10.1007/bf02086730

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Stability of solutions to ordinary differential equations (34D20) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Cites Work

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• Stability analysis of complex dynamical systems. Some computational methods
• Stability regions of large-scale systems
• Forms of aggregation in the study of the stability of motion of large-scale systems. Criteria of stability. (Review)
• Lyapunov-like solutions for stability problems of the most general stationary Lurie-Postnikov systems
• Stability Analysis of Interconnected Systems
• Stability analysis of large-scale systems with stable and unstable subsystems
• The behaviour of optimal Lyapunov functions
• Novel development of Lyapunov stability of motion
• Asymptotic stability and instability of large-scale systems

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