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In this paper, we propose a new method for the identification of linear Multiple Inputs-Multiple Outputs (MIMO) systems. By introducing a particular user-defined matrix that does not change the rank of the extended observability matrix when multiplying this latter matrix on the left, the subspace identification problem is recasted into a simple least squares problem with all regressors available. Therefore, the Singular Value Decomposition algorithm which is a customary tool in subspacedoi:10.1109/cdc.2008.4739191 dblp:conf/cdc/BakoML08 fatcat:zfwwzbpleng53a45qlxit23sn4