Exact linearization of stochastic dynamical systems by state space coordinate transformation and feedback. I: -linearization.
Sládeček, Ladislav (2003)
Applied Mathematics E-Notes [electronic only]
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Displaying similar documents to “Exact linearization of stochastic dynamical systems by state space coordinate transformation and feedback. II: -linearization.”
Exact linearization of stochastic dynamical systems by state space coordinate transformation and feedback. I: -linearization.
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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...
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Patrick Florchinger (2018)
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In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest...
Stabilization of nonlinear stochastic systems without unforced dynamics via time-varying feedback
Patrick Florchinger (2016)
Kybernetika
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In this paper we give sufficient conditions under which a nonlinear stochastic differential system without unforced dynamics is globally asymptotically stabilizable in probability via time-varying smooth feedback laws. The technique developed to design explicitly the time-varying stabilizers is based on the stochastic Lyapunov technique combined with the strategy used to construct bounded smooth stabilizing feedback laws for passive nonlinear stochastic differential systems. The interest...