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International Journal of Control Volume 91, 2018 - Issue 12: Estimation and Control of Multidimensional Systems
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Original Articles

Multidimensional realisation theory and polynomial system solving

Philippe DreesenVrije Universiteit Brussel (VUB), Brussels, BelgiumCorrespondence[email protected]
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Kim BatselierDepartment of Electrical and Electronic Engineering, The University of Hong Kong, Hong KongView further author information
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Bart De MoorDepartment of Electrical Engineering (ESAT), KU Leuven, STADIUS Center for Dynamical Systems, Signal Processing and Data Analytics, Leuven, Belgium;imec, Leuven, BelgiumView further author information
Pages 2692-2704 | Received 02 Dec 2016, Accepted 21 Aug 2017, Published online: 21 Sep 2017

Citations (13)

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Shi Yan, Li Xu, Yining Zhang, Yunze Cai & Dongdong Zhao. (2019) Order evaluation to new elementary operation approach for MIMO multidimensional systems. International Journal of Control 92:10, pages 2349-2359.
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Articles from other publishers (12)

Nithin Govindarajan, Raphaël WiddershovenShivkumar Chandrasekaran & Lieven De Lathauwer. (2024) A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems. SIAM Journal on Matrix Analysis and Applications 45:1, pages 368-396.
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Christof Vermeersch & Bart De Moor. (2023) Recursive Algorithms to Update a Numerical Basis Matrix of the Null Space of the Block Row, (Banded) Block Toeplitz, and Block Macaulay Matrix. SIAM Journal on Scientific Computing 45:2, pages A596-A620.
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Christof Vermeersch & Bart De Moor. (2022) Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems. Linear Algebra and its Applications 654, pages 177-209.
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Jeroen Vanderstukken, Patrick Kürschner, Ignat Domanov & Lieven De Lathauwer. (2021) Systems of Polynomial Equations, Higher-Order Tensor Decompositions, and Multidimensional Harmonic Retrieval: A Unifying Framework. Part II: The Block Term Decomposition. SIAM Journal on Matrix Analysis and Applications 42:2, pages 913-953.
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Christof Vermeersch & Bart De Moor. (2021) A Column Space Based Approach to Solve Systems of Multivariate Polynomial Equations. IFAC-PapersOnLine 54:9, pages 137-144.
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Oscar Mauricio Agudelo, Christof Vermeersch & Bart De Moor. (2021) Globally Optimal H2-Norm Model Reduction: A Numerical Linear Algebra Approach. IFAC-PapersOnLine 54:9, pages 564-571.
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Katrien De Cock & Bart De Moor. (2021) Multiparameter Eigenvalue Problems and Shift-invariance. IFAC-PapersOnLine 54:9, pages 159-165.
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Bob Vergauwen & Bart De Moor. (2021) Two-dimensional descriptor systems. IFAC-PapersOnLine 54:9, pages 151-158.
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Dongmei Li & Rui Liang. (2020) Serre’s Reduction and the Smith Forms of Multivariate Polynomial Matrices. Mathematical Problems in Engineering 2020, pages 1-13.
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Bart De Moor. (2019) Least squares realization of LTI models is an eigenvalue problem. Least squares realization of LTI models is an eigenvalue problem.
Christof Vermeersch & Bart De Moor. (2019) Globally Optimal Least-Squares ARMA Model Identification is an Eigenvalue Problem. IEEE Control Systems Letters, pages 1-1.
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Yazdan Bavafa-Toosi. 2019. Introduction to Linear Control Systems. Introduction to Linear Control Systems 129 264 .

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