Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey)

DOI10.1007/BF00889382zbMath0745.70015OpenAlexW2068564982MaRDI QIDQ4006934

Anatoly Martynyuk

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf00889382

zbMATH Keywords

two-component systemLyapunov direct methodmatrix-functionshybride systemssingular-disturbed systems

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)

Cites Work

• Analysis of stability problems via matrix Lyapunov functions
• Stability analysis of interconnected systems with possibly unstable subsystems
• Investigation of stability of large-scale systems on the basis of Lyapunov's matrix functions
• The Lyapunov matrix-function
• The Lyapunov matrix function and the stability of hybrid systems
• The Lyapunov matrix-function and stability of hybrid systems
• On application of the Lyapunov matrix-functions in the theory of stability
• Uniform asymptotic stability of a singularly perturbed system via the Lyapunov matrix-function
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