\(p\)-moment stability of power system under small Gauss type random excitation

DOI10.1016/j.chaos.2015.08.020zbMath1355.34118OpenAlexW1447662682MaRDI QIDQ508481

Di Xie, Zhanhui Lu, Weixiang Zhao, Gengyin Li

Publication date: 7 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.08.020

zbMATH Keywords

stochastic differential equationssmall signal stability\(p\)-moment stabilitystochastic power system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (5)

Dynamics of the stochastic Lorenz-Haken system ⋮ \(p\)th moment stability of discrete-time Markov jump systems by extended system method ⋮ Stochastic small signal interval stability of power systems with asynchronous wind turbine generators ⋮ P-moment stability under small Gauss type random excitation of stochastic system ⋮ Stability of the stochastic model for power markets with interval parameters

Cites Work

• Asymptotic stability in the \(p\)th moment for stochastic differential equations with Lévy noise
• On expansion of estimated stability region: theory, methodology, and application to power systems
• Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form
• First passage failure of dynamical power systems under random perturbations
• Limit theorem and uniqueness theorem of backward stochastic differential equations
• Exponential stability of stochastic delay interval systems
• Stability of Markovian jump neural networks with impulse control and time varying delays
• Forward-backward doubly stochastic differential equations and related stochastic partial differential equations
• \(p\)th moment exponential stability of impulsive stochastic functional differential equations with Markovian switching
• Analysis of Power System Dynamics Subject to Stochastic Power Injections
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