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• W2054204927 abstract "Abstract We obtain necessary and sufficient conditions for the existence of a finite-dimensional filter for the discrete-time nonlinear system ( ϵ x k +1 = φ ( x k ), y k = h ( x k )+ η ( x k ) ν k , k =0, 1,…. This system is distinguished by the absence of noise in the dynamic and by the correlation between the state and the intensity of noise in the observations. The necessary and sufficient condition provides an explicit formula for the minimal filter and various system-theoretic properties of (ϵ) and of the minimal filter." @default.
• W2054204927 created "2016-06-24" @default.
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• W2054204927 date "1985-05-01" @default.
• W2054204927 modified "2023-09-25" @default.
• W2054204927 title "Exact finite-dimensional filters via systems realization for a class of discrete-time nonlinear systems" @default.
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• W2054204927 doi "https://doi.org/10.1016/0167-6911(85)90065-9" @default.
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