The Lyapunov matrix-function and stability of hybrid systems

DOI10.1016/0362-546X(86)90114-8zbMath0608.34058MaRDI QIDQ3748609

Anatoly Martynyuk

Publication date: 1986

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

exampletwo-component systemmatrix Lyapunov functionisolated equilibrium state of hybrid systems

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Practical stability of hybrid systems ⋮ Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey) ⋮ Method of the application of matrix functions in stability theory ⋮ Elements of the theory of stability of hybrid systems (review) ⋮ Nonstationary load on the surface of an elastic half-strip ⋮ Lyapunov's direct method in stability theory review

Cites Work

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• Large scale systems stability under structural and singular perturbations
• The Lyapunov matrix-function
• On application of the Lyapunov matrix-functions in the theory of stability
• Novel development of Lyapunov stability of motion
• Stability of interconnected dynamical systems described on Banach spaces

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