Stochastic exponential and asymptotic stability of simple nonlinear systems

DOI10.1016/0020-7462(96)00031-5zbMATH Open0905.34045OpenAlexW2071936307MaRDI QIDQ1390075

Jiri Náprstek

Publication date: 11 January 1999

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(96)00031-5

zbMATH Keywords

Lyapunov functiondynamic systemsLyapunov methodsstability in probabilityasymptotic and weak stabilityFokker-Planck-Kolgomorov (FPK) operatorsstochastic exponential \(p\)-stability

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Random vibrations in mechanics of particles and systems (70L05) Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Ordinary differential equations and systems with randomness (34F05)

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