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In this paper, we present a recursive computation for Subspace-based State Space System IDentification (4SID) methods. We develope another interpretation of the method by using Schur complement, and p...ropose a recursive formula for the error covariance matrix in the 4SID procedure. In the ordinary MIMO Output-Error State space model identification (MOESP) algorithm, we show the estimate of the extended observability matrix is obtained by Schur complement of input-output data matrix. For the noisy case interpretation of the 4SID procedure is also presented. Finally, we illustrate a numerical example for the proposed algorithm.show more
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