General decay stability for stochastic functional differential equations with infinite delay.
Liu, Yue, Meng, Xuejing, Wu, Fuke (2010)
International Journal of Stochastic Analysis
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Displaying similar documents to “Stability of invariant sets of Itô stochastic differential equations with Markovian switching.”
General decay stability for stochastic functional differential equations with infinite delay.
Stochastic stability of linear time-delay system with Markovian jumping parameters.
Benjelloun, K., Boukas, E.K. (1997)
Mathematical Problems in Engineering
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Stability of invariant measure of a stochastic differential equation describing molecular rotation
Bohdan Maslowski (1987)
Aplikace matematiky
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Stability of an invariant measure of stochastic differential equation with respect to bounded pertubations of its coefficients is investigated. The results as well as some earlier author's results on Liapunov type stability of the invariant measure are applied to a system describing molecular rotation.
Integral inequality and exponential stability for neutral stochastic partial differential equations with delays.
Chen, Huabin (2009)
Journal of Inequalities and Applications [electronic only]
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Stabilization of partially linear composite stochastic systems via stochastic Luenberger observers
Patrick Florchinger (2022)
Kybernetika
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The present paper addresses the problem of the stabilization (in the sense of exponential stability in mean square) of partially linear composite stochastic systems by means of a stochastic observer. We propose sufficient conditions for the existence of a linear feedback law depending on an estimation given by a stochastic Luenberger observer which stabilizes the system at its equilibrium state. The novelty in our approach is that all the state variables but the output can be corrupted...
Invariant measures for nonlinear SPDE's: uniqueness and stability
Bohdan Maslowski, Jan Seidler (1998)
Archivum Mathematicum
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The paper presents a review of some recent results on uniqueness of invariant measures for stochastic differential equations in infinite-dimensional state spaces, with particular attention paid to stochastic partial differential equations. Related results on asymptotic behaviour of solutions like ergodic theorems and convergence of probability laws of solutions in strong and weak topologies are also reviewed.
On a stochastic SIR model
Elisabetta Tornatore, Stefania Maria Buccellato (2007)
Applicationes Mathematicae
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We consider a stochastic SIR system and we prove the existence, uniqueness and positivity of solution. Moreover the existence of an invariant measure under a suitable condition on the coefficients is studied.