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- W2077899103 abstract "A new algorithm for reducing continuous-time stochastic systems is presented. First, using the theory of canonical variables and the canonical decomposition of the Hankel operator a new algorithm for obtaining balanced stochastic realization (BSR) is developed. Next, using the insight obtained from this result a direct approach for obtaining BSR is presented. Model reduction is achieved by picking an appropriate subsystem of the BSR. Asymptotic stability of the reduced-order model, as well as the inverse of the reduced-order model is established. This leads to a new design for reduced-order Kalman-Bucy filters. Finally the spectral domain interpretations of the BSR are given. Also a reduced order controller for the LQR problem is developed." @default.
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- W2077899103 date "1983-01-01" @default.
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- W2077899103 title "Approximation of stochastic systems: Reduced-order estimator & controller" @default.
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- W2077899103 doi "https://doi.org/10.1109/cdc.1983.269728" @default.
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