The selection below only shows the papers directly related to the ERC project. A complete list of publications can be found on Bart De Moor’s homepage.
- Vanpoucke L., De Moor B., “Constructing multidimensional difference equations from a state-space representation through the generalized Cayley-Hamilton theorem”, accepted for publication in IEEE Control Systems Letters, 2024.
- Lagauw, S., Agudelo, O. M., De Moor, B., “Globally Optimal SISO H2-norm Model Reduction using Walsh’s Theorem”, IEEE Control Systems Letters, vol. 7, 2023, pp. 1670-1675.
Lirias number: 4085550. - Vermeersch C., De Moor B., “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, vol. 40, no. 2, 2023, pp. A596-A620.
Lirias number: 4085323. - Vermeersch C., De Moor B., “Two Double Recursive Block Macaulay Matrix Algorithms to Solve Multiparameter Eigenvalue Problems”, IEEE Control Systems Letters, vol. 7, 2023, pp. 319-324.
Lirias number: 3790385. - Vermeersch C., De Moor B., “Two Complementary Block Macaulay Matrix Algorithms to Solve Multiparameter Eigenvalue Problems”, Linear Algebra and its Applications, vol. 654, Dec. 2022, pp. 177-209.
Lirias number: 3837908. - Lauwers O., Vermeersch C., De Moor B., “Cepstral Identification of Autoregressive Systems”, Automatica, vol. 139, art. no. 110214, 2022, pp. 1-14.
Lirias number: 3667063.
The selection below only shows the papers directly related to the ERC project. A complete list of publications can be found on Bart De Moor’s homepage.
- Lagauw S., De Moor B., “Least Squares Projection Onto the Behavior for SISO LTI Models”, Technical Report 23-162, ESAT-STADIUS, KU Leuven (Leuven, Belgium), 2023. Accepted for publication in IFAC-PapersOnLine, Special Issue: 20th IFAC Symposium on System Identification (SYSID 2024), Jul. 2024, Boston, USA.
Lirias number: - Lagauw S., Vanpoucke L., De Moor B., “Exact Characterization of the Global Optima of Least Squares Realization of Autonomous LTI Models as a Multiparameter Eigenvalue Problem”, in Proc. of the 22nd European Control Conference (ECC), Stockholm, Sweden, Jun. 2024, pp. 3439-3444.
Lirias number: - Vermeersch C., Lagauw S., De Moor B., “Multivariate Polynomial Optimization in Complex Variables Is a (Rectangular) Multiparameter Eigenvalue Problem”, in Proc. of the 62nd Conference on Decision and Control (CDC), 2023, Singapore, Dec. 2023, pp. 7299-7305.
Lirias number: 4140121. - De Cock K., De Moor B., “Multiparameter Eigenvalue Problems and Shift-Invariance”, IFAC-PapersOnLine, Special Issue: 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020: Cambridge, United Kingdom, vol. 54, no. 9, Jul. 2021, pp. 159-165.
Lirias number: 3039534. - Agudelo O. M., Vermeersch C., De Moor B., “Globally Optimal H2-Norm Model Reduction: A Numerical Linear Algebra Approach”, IFAC-PapersOnLine, Special Issue: 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020: Cambridge, United Kingdom, vol. 54, no. 9, Jul. 2021, pp. 564-571.
Lirias number: 3275566. - Vermeersch C., De Moor B., “A Column Space Based Approach to Solve Systems of Multivariate Polynomial Equations”, IFAC-PapersOnLine, Special Issue: 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020: Cambridge, United Kingdom, vol. 54, no. 9, Jul. 2021, pp. 137-144.
Lirias number: 3501138 - Vergauwen B., De Moor B., “Two-dimensional descriptor systems”, IFAC-PapersOnLine, Special Issue: 24th International Symposium on Mathematical Theory of Networks and Systems MTNS 2020: Cambridge, United Kingdom, vol. 54, no. 9, Jul. 2021, pp. 151-158.
Lirias number: 3613280.
The selection below only shows the theses directly related to the ERC project. A complete list of Bart De Moor’s (former) PhD students can be found on his homepage.
- Vermeersch C., The (Block) Macaulay Matrix: Solving Systems of Multivariate Polynomial Equations and Multiparameter Eigenvalue Problems, PhD thesis, Faculty of Engineering, KU Leuven (Leuven, Belgium), Dec. 2023, 422 p.
The selection below only shows the theses directly related to the ERC project. A list of other Master’s theses can be found on Bart De Moor’s homepage.
- Tom Segers, Exploring the Critical Values of Multivariate Polynomial Optimization Problems, Master’s thesis, Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2024.
- Mayte Bongaerts, Gestructureerde Polynomiale Multiparametereigenwaardeproblemen: Goede Identificaties door Goede Linearisaties, Master’s thesis (in Dutch), Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2024.
- Victor Janssens, The quest for global optimality within linear system identification, Master’s thesis, Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2024.
- Sarthak De, Subspace methods for the block Macaulay framework: Tackling large-scale multiparameter eigenvalue problems from PDEs and system identification, Master’s thesis, Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2022.
- Sibren Lagauw, A new globally optimal approach to solve multivariate polynomial optimization problems, Master’s thesis, Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2021.
- Toon Huyck, Identificeren van realisatiemodellen door middel van multiparametereigenwaardeproblemen, Master’s thesis (in Dutch), Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2021.
The selection below only shows the papers directly related to the ERC project topic. A complete list of publications can be found on Bart De Moor’s homepage.
- De Moor B., “Least squares optimal realisation of autonomous LTI systems is an eigenvalue problem”, Communications in Information and systems, vol. 20, no. 2, 2020, pp. 163-207.
Lirias number: 3275500. - Vermeersch C., De Moor B., “Globally Optimal Least-Squares ARMA Model Identification Is an Eigenvalue Problem”, IEEE Control Systems Letters (L-CSS), vol. 3, no. 4, Oct. 2019, pp. 1062-1067.
Lirias number: 2805759. - Dreesen P., Batselier K., De Moor B., “Multidimensional Realisation Theory and Polynomial System Solving”, International Journal of Control, vol. 91, no. 12, 2018, pp. 2692-2704.
Lirias number: 1567290 - Batselier K., Dreesen P., De Moor B., “On the null spaces of the Macaulay matrix”, Linear Algebra and its Applications, vol. 460, no. 1, Nov. 2014, pp. 259-289.
Lirias number: 503546.
The selection below only shows the papers directly related to the ERC project topic. A complete list of publications can be found on Bart De Moor’s homepage.
- De Moor B., “Least Squares realization of LTI models is an eigenvalue problem”, in Proceedings of the European Control Conference, ECC 2019, Naples, Italy, Jun. 2019, pp. 2270-2275.
Lirias number: 2783866. - Vergauwen B., Agudelo O. M., De Moor B., “Order estimation of two dimensional systems based on rank decisions”, in Proc. of the 57th IEEE Conference on Decision and Control (CDC 2018), Miami Beach, FL, Dec. 2018, pp. 1451-1456.
Lirias number: 2376196.
The selection below only shows the theses directly related to the ERC project topic. A complete list of Bart De Moor’s (former) PhD students can be found on his homepage.
- Dreesen P., Back to the Roots – Polynomial System Solving Using Linear Algebra, PhD thesis, Faculty of Engineering, KU Leuven (Leuven, Belgium), Sep. 2013, 232 p.
- Batselier K., A Numerical Linear Algebra Framework for Solving Problems with Multivariate Polynomials, PhD thesis, Faculty of Engineering, KU Leuven (Leuven, Belgium), Sep. 2013, 181 p.
The selection below only shows the theses directly related to the ERC project. A list of other Master’s theses can be found on Bart De Moor’s homepage.
- Bruno Nicola Esposito Acosta, Optimal Identification of ARMAX Models via Multiparameter Eigenvalue Problems, Master’s thesis, Master of Science in Statistics, KU Leuven, Leuven, Belgium, 2020.
- Ruben Coppens, Multivariate Polynomiale Optimalisatieproblemen Oplossen via Numerieke Lineaire Algebra, Master’s thesis, Master of Science in Mathematical Engineering, KU Leuven, Leuven, Belgium, 2019.