Stability indices for randomly perturbed power systems

DOI10.1016/j.amc.2014.01.024zbMath1410.93138OpenAlexW1972032952MaRDI QIDQ1644548

Y. Aharonov

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.024

zbMATH Keywords

Lyapunov exponentsstochastic stabilitystochastic systemmoment stabilityelectric power systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stochastic stability in control theory (93E15)

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Cites Work

• Stability of linear stochastic systems via Lyapunov exponents and applications to power systems
• The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields
• Monte Carlo Simulation of Moment Lyapunov Exponents
• Numerical Determination of Moment Lyapunov Exponents of Two-Dimensional Systems
• Approximation of Upper Lyapunov Exponents of Bilinear Stochastic Differential Systems
• A classification of the second order degenerate elliptic operators and its probabilistic characterization
• A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems
• The dynamics of control. With an appendix by Lars Grüne
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