Application of structured total least squares for system identification and model reduction

DOI10.1109/TAC.2005.856643zbMath1365.93527MaRDI QIDQ5274174

Bart De Moor, Ivan Markovsky, Jan C. Willems, Rik Pintelon, Sabine Van Huffel

Publication date: 12 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

System identification (93B30) Least squares and related methods for stochastic control systems (93E24) Identification in stochastic control theory (93E12) System structure simplification (93B11)

Related Items (14)

Implicit iterative algorithm for solving regularized total least squares problems ⋮ Maximum likelihood identification of noisy input-output models ⋮ Filtering and frequency interpretations of singular spectrum analysis ⋮ Stochastic algorithms for solving structured low-rank matrix approximation problems ⋮ Nearest matrix with prescribed eigenvalues and its applications ⋮ Optimization challenges in the structured low rank approximation problem ⋮ Structured low-rank approximation and its applications ⋮ Realization and identification of autonomous linear periodically time-varying systems ⋮ Inferring biomolecular interaction networks based on convex optimization ⋮ Optimal rank-1 Hankel approximation of matrices: Frobenius norm and spectral norm and Cadzow's algorithm ⋮ High-performance numerical algorithms and software for structured total least squares ⋮ Errors-in-variables methods in system identification ⋮ Perturbation expansions and error bounds for the truncated singular value decomposition ⋮ Data-based controllability analysis of discrete-time linear time-delay systems

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