Publications

Authors Title Publication Info
J. D. Simard, A. Moreschini, & A. Astolfi "Parameterization of All Differential-Algebraic Moment Matching Interpolants." IEEE Transactions on Automatic Control (2024).
A. Moreschini, J. D. Simard, & A. Astolfi "Data-Driven Model Reduction for Port-Hamiltonian and Network Systems in the Loewner Framework." Automatica 169 (2024): 111836.
J. D. Simard "Construction of Nonlinear Interpolants With Second-Order Equation Structure in the Loewner Framework." IFAC-PapersOnLine 58.5 (2024): 114-119.
J. D. Simard & A. Astolfi "On the Construction and Parameterization of Interpolants in the Loewner Framework."1 Automatica 159 (2024): 111329.
J. D. Simard & A. Moreschini "Enforcing Stability of Linear Interpolants in the Loewner Framework." IEEE Control Systems Letters 7 (2023): 3537-3542.
A. Moreschini, J. D. Simard, & A. Astolfi "Model Reduction in the Loewner Framework for Second-Order Network Systems On Graphs." 2023 IEEE 62nd Conference on Decision and Control (CDC). IEEE, 2023.
J. D. Simard, A. Moreschini, & A. Astolfi "Moment Matching for Nonlinear Systems of Second-Order Equations." 2023 IEEE 62nd Conference on Decision and Control (CDC). IEEE, 2023.
A. Moreschini, J. D. Simard, & A. Astolfi "Model Reduction for Linear Port-Hamiltonian Systems in the Loewner Framework." IFAC-PapersOnLine 56.2 (2023): 9493-9498.
J. D. Simard, X. Cheng, & A. Moreschini "Interpolants With Second-Order Structure in the Loewner Framework." IFAC-PapersOnLine 56.2 (2023): 4278-4283.
J. D. Simard, A. Moreschini, & A. Astolfi "Parameterization of All Moment Matching Interpolants." 2023 European Control Conference (ECC). IEEE, 2023.
J. D. Simard Interpolation and Model Reduction of Nonlinear Systems in the Loewner Framework. Ph.D. dissertation. Imperial College London, 2023.
J. D. Simard & A. Astolfi "Loewner Functions for a Class of Nonlinear Differential-Algebraic Systems." 2022 IEEE 61st Conference on Decision and Control (CDC). IEEE, 2022.
J. D. Simard & A. Astolfi "Regularization of Underconstrained Interpolants in the Loewner Framework." 2022 European Control Conference (ECC). IEEE, 2022.
J. D. Simard & A. Astolfi "Loewner Functions and Model Order Reduction for Nonlinear Input-Affine Descriptor Systems." 2021 60th IEEE Conference on Decision and Control (CDC). IEEE, 2021.
J. D. Simard & A. Astolfi "Nonlinear Model Reduction in the Loewner Framework." IEEE Transactions on Automatic Control 66.12 (2021): 5711-5726.
J. D. Simard & A. Astolfi "Online Estimation of the Loewner Matrices." 2020 59th IEEE Conference on Decision and Control (CDC). IEEE, 2020.
A. Astolfi, et al "Model Reduction by Moment Matching: Beyond Linearity - a Review of the Last 10 Years." 2020 59th IEEE Conference on Decision and Control (CDC). IEEE, 2020.
J. D. Simard & A. Astolfi "Loewner Functions for Linear Time-Varying Systems With Applications to Model Reduction." IFAC-PapersOnLine 53.2 (2020): 5623-5628.
J. D. Simard & A. Astolfi "An Interconnection-Based Interpretation of the Loewner Matrices." 2019 58th IEEE Conference on Decision and Control (CDC). IEEE, 2019.
J. D. Simard, C. Nielsen, & D. E. Miller "Periodic Adaptive Stabilization of Rapidly Time-Varying Linear Systems." Mathematics of Control, Signals, and Systems 31.2 (2019): 1-42.
J. D. Simard Periodic Nonlinear Adaptive Control of Rapidly Time-Varying Linear Systems. M.A.Sc. thesis. University of Waterloo, 2018.
1 - During provisional acceptance for publication in Automatica this work was cited as "On the Construction and Parameterization of Well-Posed Nonlinear Interpolants in the Loewner Framework" in the publications "Interpolants With Second-Order Structure in the Loewner Framework" and "Parameterization of All Moment Matching Interpolants," and in the Ph.D. dissertation "Interpolation and Model Reduction of Nonlinear Systems in the Loewner Framework."