Lyapunov exponents of hybrid stochastic heat equations

DOI10.1016/j.sysconle.2011.10.009zbMath1250.93122arXiv1111.1229OpenAlexW1980615619MaRDI QIDQ450716

Xuerong Mao, Chenggui Yuan, Jianhai Bao

Publication date: 14 September 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1229

zbMATH Keywords

stabilizationlarge deviationMarkov chainstochastic heat equationLyapunov exponent

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Lyapunov exponents of PDEs driven by fractional noise with Markovian switching, The novel sufficient conditions of almost sure exponential stability for semi-Markov jump linear systems, \(p\)th moment exponential stability of nonlinear hybrid stochastic heat equations, \(p\)th moment exponential stability of hybrid stochastic fourth-order parabolic equations, A note on stability of SPDEs driven by \(\alpha\)-stable noises, Almost sure stability of hybrid stochastic systems under asynchronous Markovian switching, Stability and stochastic stabilization of numerical solutions of regime-switching jump diffusion systems

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