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Observers for nonlinear stochastic systems

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2 Author(s)
Tarn, T. ; Washington University, St. Louis, MO, USA ; Yona Rasis

Motivated by the complexity and the large quantity of on-line operations required for nonlinear filtering problems, observers for nonlinear stochastic systems are constructed based on a Lyapunov-like method. Sufficient conditions on the structure of a nonlinear stochastic system for the existence of an exponentially bounded observer are given. These conditions can be applied off-line. The stabilization of unstable nonlinear stochastic systems using observer feedback are investigated. Sufficient conditions to stabilize cascaded control and observer in a feedback arrangement are given.

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Automatic Control, IEEE Transactions on  (Volume:21 ,  Issue: 4 )