Forms of aggregation in the study of the stability of motion of large-scale systems. Criteria of stability. (Review)

DOI10.1007/BF00846853zbMath0900.70279MaRDI QIDQ1377161

Anatoly Martynyuk

Publication date: 1 November 1998

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

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Input-output analysis of large-scale interconnected systems. Decomposition, well-posedness and stability
• Qualitative analysis of large scale dynamical systems
• Dynamical systems and stability
• Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions
• The Lyapunov matrix-function
• Analytical construction of the hierarchical matrix Lyapunov function for impulse systems
• Method of the application of matrix functions in stability theory
• The Application of Lyapunov’s Second Method to Interconnected Systems
• Vector Lyapunov Functions
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