Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions

DOI10.1007/BF00890616zbMath0624.70019OpenAlexW2324875849MaRDI QIDQ3026410

V. V. Shegai, Anatoly Martynyuk

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00890616

zbMATH Keywords

stability analysisnonlinear systemsasymptotic stability conditionsinstability conditionsStability criteriaLyapunov matrix functionDecomposition of a large-scale systemlinear system with nonlinear couplingsstability of the equilibrium statesufficient stability

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability theory for smooth dynamical systems (37C75)

Related Items (7)

Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey) ⋮ Forms of aggregation in the study of the stability of motion of large-scale systems. Criteria of stability. (Review) ⋮ Expansion of the space state of dynamic systems and the stability problem ⋮ Method of the application of matrix functions in stability theory ⋮ 40 years of the direct matrix-valued Lyapunov function method (review) ⋮ A survey of some classical and modern developments of stability theory ⋮ Method of decomposing large-scale systems in a study of stability of motion

Cites Work

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• Qualitative analysis of large scale dynamical systems
• Stability analysis of interconnected systems with possibly unstable subsystems
• The Lyapunov matrix-function
• The Lyapunov matrix function and the stability of hybrid systems
• On the theory of stability of motion
• The Application of Lyapunov’s Second Method to Interconnected Systems
• Vector Lyapunov Functions

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