Stability of linear stochastic systems via Lyapunov exponents and applications to power systems

DOI10.1016/j.amc.2012.04.063zbMath1277.93083OpenAlexW2142299699MaRDI QIDQ387474

Mohammad Hasan, H. S. Yoon

Publication date: 23 December 2013

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.063

zbMATH Keywords

stabilitypower systemsnumerical methodsasymptotic stabilityLyapunov exponentslinear stochastic systemsone machine-infinite bus electric power systemsustained random perturbations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Perturbations of ordinary differential equations (34D10) Numerical solutions to stochastic differential and integral equations (65C30)

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Cites Work

• Spectral Theory for Perturbed Systems
• Approximation of Upper Lyapunov Exponents of Bilinear Stochastic Differential Systems
• On unique ergodicity for degenerate diffusions
• Approximation of Lyapunov Exponents of Nonlinear Stochastic Differential Equations
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