Lassi Paunonen

Associate Professor in Mathematics

Scientific publications

List of publications and preprints of published manuscripts in PDF form. If you contact me by email, I am also happy to send you final versions of any of my publications.

In addition, preprints of submitted manuscripts can be found at my page at arXiv.org.

Contents:

Preprints

[*] Lassi Paunonen and David Seifert. Polynomial stability of a coupled wave-heat network. arXiv:2407.03252 , July 2024. [ arXiv preprint ]

[*] Sahiba Arora, Jochen Glück, Lassi Paunonen and Felix Schwenninger. Limit-case admissibility for positive infinite-dimensional systems. arXiv:2404.01275, April 2024. [ arXiv preprint ]

[*] Serge Nicaise, Lassi Paunonen and David Seifert. Stability of abstract coupled systems. arXiv:2403.15253, March 2024. [ arXiv preprint ]

[*] Lassi Paunonen, Nicolas Vanspranghe and Ruoyu P. T. Wang. Weakly elliptic damping gives sharp decay. arXiv:2403.13067, March 2024. [ arXiv preprint ]

Journal articles

[48] Lassi Paunonen, David Seifert and Nicolas Vanspranghe. A Non-Uniform Datko-Pazy Theorem for Bounded Operator Semigroups. Studia Mathematica, accepted for publication. [ arXiv preprint ]

[47] Ren-Xi Zhao, Bao-Zhu Guo, and Lassi Paunonen. Robust Output Regulation for Multi-Dimensional Heat Equation under Boundary Control. Automatica, 171:111956, 2025. [ preprint, journal version ]

[46] Lassi Paunonen and Sepideh Afshar. Time-varying internal models and regulation of unknown harmonic signals for regular linear systems. IEEE Transactions on Automatic Control, 69(7):4320-4335, 2024. [ preprint, journal version (Open Access), preprint (arXiv) ]

[45] Mikko Lehtimäki, Lassi Paunonen, and Marja-Leena Linne. Accelerating Neural ODEs Using Model Order Reduction. IEEE Transactions on Neural Networks and Learning Systems, 35(1):519-531, 2024. [ preprint, journal version (Open Access), preprint (arXiv) ]

[44] Thavamani Govindaraj, Jukka-Pekka Humaloja, and Lassi Paunonen. Robust Controllers for a Flexible Satellite Model. Mathematical Control and Related Fields, 14(1):356-385, 2024. [ preprint, journal version, preprint (arXiv) ]

[43] Ralph Chill, Lassi Paunonen, David Seifert, Reinhard Stahn, and Yuri Tomilov. Non-uniform stability of damped contraction semigroups. Analysis & PDE, 16(5): 1089-1132, 2023. [ preprint, preprint (arXiv), journal version (Open Access) ]

[42] Janne Koivumäki, Jukka-Pekka Humaloja, Lassi Paunonen, Wen-Hong Zhu, and Jouni Mattila. Subsystem-Based Control with Modularity for Strict-Feedback Form Nonlinear Systems. IEEE Transactions on Automatic Control, 68(7):4336-4343, 2023. [ preprint (arXiv), preprint, journal version (Open Access) ]

[41] Filippo Dell'Oro, Lassi Paunonen, and David Seifert. Optimal decay for a wave-heat system with Coleman-Gurtin thermal law. Journal of Mathematical Analysis and Applications, 518(2):126706, 2023. [ preprint, journal version (Open Access), preprint (arXiv) ]

[40] Weiwei Liu, Lassi Paunonen and Jun-Min Wang. Robust output regulation of a thermoelastic system. Systems & Control Letters, 167:105309, 2022. [ preprint, journal version, preprint (arXiv) ]

[39] Dmytro Baidiuk and Lassi Paunonen. Robustness of polynomial stability of damped wave equations. Journal of Dynamics and Differential Equations, 35:1489-1510, 2023. [ preprint, journal version (Open Access), preprint (arXiv) ]

[38] Konsta Huhtala, Lassi Paunonen, and Weiwei Hu. Robust output regulation of the linearized Boussinesq equations with boundary control and observation. Mathematics of Control, Signals, and Systems, 32(2):361-391, 2022. [ preprint (arXiv), journal version (Open Access), preprint (arXiv) ]

[37] Konsta Huhtala and Lassi Paunonen. Approximate local output regulation for a class of nonlinear fluid flows. European Journal of Control, 62:136-142, 2021. [ preprint, journal version (Open Access) ]

[36] Jukka-Pekka Humaloja, Janne Koivumäki, Lassi Paunonen, and Jouni Mattila. Decentralized observer design for virtual decomposition control. IEEE Transactions on Automatic Control, 67(5):2529-2536, 2022. [ preprint, journal version (Open Access), preprint (arXiv) ]

[35] Lassi Paunonen, Yann Le Gorrec, and Hector Ramirez. A Lyapunov approach to robust regulation of distributed port-Hamiltonian systems. IEEE Transactions on Automatic Control, 66(12):6041-6048, 2021. [ preprint, journal version (Open Access), arXiv, Matlab simulation code ]

[34] Sirkka-Liisa Eriksson, Jani Jokela, and Lassi Paunonen. Generalized absolute values, ideals and homomorphisms in mixed lattice groups. Positivity, 25:939–972, 2021. [ journal version (Open Access) ]

[33] Duy Phan and Lassi Paunonen. Finite-dimensional controllers for robust regulation of boundary control systems. Mathematical Control and Related Fields, 11(1):95-117, 2021. [ preprint, journal version, arXiv ]

[32] Lassi Paunonen and David Seifert. Asymptotics and approximation of large systems of ordinary differential equations. Systems & Control Letters, 140:104703, 2020. [ preprint, journal version, arXiv ]

[31] Lassi Paunonen and Duy Phan. Reduced order controller design for robust output regulation. IEEE Transactions on Automatic Control, 65(6):2480-2493, 2020. [ preprint, journal version, arXiv ]

[30] Lassi Paunonen. Stability and robust regulation of passive linear systems. SIAM Journal on Control and Optimization, 57(6): 3827--3856, 2019. [ preprint, journal version, arXiv ]

[29] Tuuva Kastinen, Demetrio da Silva Filho, Lassi Paunonen, Mathieu Linares, Luiz Antonio Ribeiro Jr., Oana Cramariuc, and Terttu Hukka. Electronic couplings and rates of excited state charge transfer processes at poly(thiophene-co-quinoxaline)–PC71BM interfaces: two- versus multi-state treatments. Physical Chemistry Chemical Physics, 21: 25606-25625, 2019. [ journal version ]

[28] Charles J.K. Batty, Lassi Paunonen, and David Seifert. Optimal energy decay for the wave-heat system on a rectangular domain. SIAM J. Math. Anal., 51(2):808-819, 2019. [ preprint, journal version, arXiv ]

[27] Lassi Paunonen and David Seifert. Asymptotics for periodic systems. Journal of Differential Equations, 266: 7152–7172, 2019. [ preprint, journal version, arXiv ]

[26] Jukka-Pekka Humaloja, Mikael Kurula and Lassi Paunonen. Approximate robust output regulation of boundary control systems. IEEE Transactions on Automatic Control, 64(6):2210-2223, 2019. [ preprint, journal version, arXiv, Matlab simulation code ]

[25] Petteri Laakkonen and Lassi Paunonen. Reduced order internal models in the frequency domain. IEEE Transactions on Automatic Control, 62(6): 1806-1812, 2018. [ preprint, journal version, arXiv ]

[24] Lassi Paunonen and David Seifert. Asymptotic behaviour of coupled systems in discrete and continuous time. Journal of Dynamics and Differential Equations, 30(2):433-445, 2018. [ preprint, journal version, arXiv ]

[23] Jukka-Pekka Humaloja and Lassi Paunonen. Robust regulation of infinite-dimensional Port-Hamiltonian systems. IEEE Transactions on Automatic Control, 63(5): 1480-1486, 2018. [ preprint, journal version, arXiv ]

[22] Lassi Paunonen. Robust controllers for regular linear systems with infinite-dimensional exosystems. SIAM Journal on Control and Optimization, 55(3): 1567-1597, 2017. [ preprint, journal version, arXiv ]

[21] Lassi Paunonen. Robust output regulation for continuous-time periodic systems. IEEE Transactions on Automatic Control, 62(9): 4363-4375, 2017. [ preprint, journal version, arXiv ]

[20] Lassi Paunonen and David Seifert. Asymptotics for infinite systems of differential equations. SIAM Journal on Control and Optimization, 55(2): 1153-1178, 2017. [ preprint, journal version, arXiv ]

[19] Lassi Paunonen and David Seifert. Asymptotic behaviour in the robot rendezvous problem. Automatica, 79: 127-130, 2017. [ preprint, journal version, arXiv ]

[18] Lassi Paunonen. Controller design for robust output regulation of regular linear systems. IEEE Trans. Automat. Control, 61(10):2974-2986, 2016. [ preprint, journal version, arXiv, errata ]

[17] Charles J.K. Batty, Lassi Paunonen, and David Seifert. Optimal energy decay in a one-dimensional coupled wave-heat system. J. Evol. Equ., 16(3):649-664, 2016. [ preprint, journal version, arXiv ]

[16] Lassi Paunonen and Petteri Laakkonen. Polynomial input-output stability for linear systems. IEEE Trans. Automat. Control, 60(10):2797-2802, 2015. [ preprint, journal version ]

[15] Lassi Paunonen. Designing controllers with reduced order internal models. IEEE Trans. Automat. Control, 60(3):775-780, 2015. [ preprint, journal version ]

[14] Lassi Paunonen. Robustness of strong stability of discrete semigroups Systems Control Lett., 75:35-40, 2015. [ preprint, journal version, arXiv ]

[13] Lassi Paunonen and Seppo Pohjolainen. The internal model principle for systems with unbounded control and observation SIAM J. Control Optim., 52(6):3967-4000, 2014. [ final PDF, journal version, arXiv ]

[12] Lassi Paunonen. Robustness of Strong Stability of Semigroups. J. Differential Equations, 257:4403-4436, 2014. [ preprint, journal version, arXiv ]

[11] Lassi Paunonen. Polynomial stability of semigroups generated by operator matrices. J. Evol. Equ., 14(4-5):885-911, 2014. [ preprint, journal version, arXiv ]

[10] Lassi Paunonen. The role of exosystems in output regulation. IEEE Trans. Automat. Control, 59(8):2301-2305, 2014. [ preprint, journal version ]

[9] Lassi Paunonen and Seppo Pohjolainen. Robust output regulation and the preservation of polynomial closed-loop stability. Internat. J. Robust Nonlinear Control, 24:3409-3439, 2014. [ preprint, journal version ]

[8] Lassi Paunonen and Seppo Pohjolainen. Reduced order internal models in robust output regulation. IEEE Trans. Automat. Control, 58(9):2307-2318, 2013. [ preprint, journal version ]

[7] Lassi Paunonen and Hans Zwart. A Lyapunov approach to strong stability of semigroups. Systems Control Lett., 62(8):673-678, 2013. [ preprint, journal version ]

[6] Lassi Paunonen. Robustness of polynomial stability with respect to unbounded perturbations. Systems Control Lett., 62(4):331-337, 2013. [ preprint, journal version ]

[5] Lassi Paunonen and Seppo Pohjolainen. Robust controller design for infinite-dimensional exosystems. Internat. J. Robust Nonlinear Control, 24(5):825-858, 2014. [ preprint, journal version ]

[4] Lassi Paunonen. Robustness of strongly and polynomially stable semigroups. J. Funct. Anal., 263:2555-2583, 2012. [ preprint, journal version ]

[3] Lassi Paunonen and Seppo Pohjolainen. Periodic output regulation for distributed parameter systems. Math. Control Signals Systems, 24(4):403-441, 2012. [ preprint, journal version ]

[2] Lassi Paunonen. Perturbation of strongly and polynomially stable Riesz-spectral operators. Systems Control Lett., 60:234-248, 2011. [ preprint, journal version ]

[1] Lassi Paunonen and Seppo Pohjolainen. Internal model theory for distributed parameter systems. SIAM J. Control Optim., 48(7):4753-4775, 2010. [ preprint, journal version ]

Conference articles

[38] Jasper Kosonen, Lassi Paunonen and Nicolas Vanspranghe. Polynomial Stability of Coupled Waves with Weak Indirect Damping. In Proceedings of 26th International Symposium on Mathematical Theory of Networks and Systems Cambridge, UK, August 19-23, 2024. [ preprint ]

[37] Pietro Lorenzetti, Lassi Paunonen, Nicolas Vanspranghe and George Weiss. Saturating integral control for infinite-dimensional linear systems. In Proceedings of 62nd IEEE Conference on Decision and Control, Singapore, December 13–15, 2023. [ preprint ]

[36] Nicolas Vanspranghe, Lucas Brivadis and Lassi Paunonen. On Forwarding Techniques for Stabilization and Set-point Output Regulation of Semilinear Infinite-dimensional Systems. In Proceedings of 62nd IEEE Conference on Decision and Control, Singapore, December 13–15, 2023. [ preprint ]

[35] Thavamani Govindaraj, Lassi Paunonen, and Jukka-Pekka Humaloja. Saturated Output Regulation of Distributed Parameter Systems with Collocated Actuators and Sensors. In Proceedings of IFAC World Congress, Yokohama, Japan, July 9-14, 2023. [ preprint ]

[34] Lassi Paunonen and Jukka-Pekka Humaloja. On Robust Regulation of PDEs: from Abstract Methods to PDE Controllers. In Proceedings of the 61st IEEE Conference on Decision and Control, Cancun, Mexico, December 6-9, 2022. [ preprintarXiv ]

[33] Thavamani Govindaraj, Jukka-Pekka Humaloja and Lassi Paunonen. A Finite-Dimensional Controller for Robust Output Tracking of an Euler–Bernoulli Beam. In Proceedings of The 2022 American Control Conference, Atlanta, GA, USA, June 8-10, 2022. [ preprint ]

[32] Konsta Huhtala, Lassi Paunonen and Weiwei Hu. Robust Output Tracking for a Room Temperature Model with Distributed Control and Observation. In Proceedings of 24th International Symposium on Mathematical Theory of Networks and Systems (cancelled), 2020. [ preprint ]

[31] Lassi Paunonen and Duy Phan. A Reduced Order Controller for Output Tracking of a Kelvin–Voigt Beam. In Proceedings of 24th International Symposium on Mathematical Theory of Networks and Systems (cancelled), 2020. [ preprint, Matlab simulation code ]

[30] Mikko Lehtimäki, Ippa Seppälä, Lassi Paunonen, and Marja-Leena Linne. Accelerated simulation of a neuronal population via mathematical model order reduction. In Proceedings of the 2nd IEEE International Conference On Artificial Intelligence Circuits And Systems, Genoa, Italy, August 31 – September 2, 2020. [ preprint ]

[29] Thavamani Govindaraj, Jukka-Pekka Humaloja and Lassi Paunonen. Robust Output Regulation of a Flexible Satellite. In Proceedings of IFAC World Congress, Berlin, Germany, July 12-17, 2020. [ preprint ]

[28] Mikko Lehtimäki, Lassi Paunonen, and Marja-Leena Linne. Projection-based order reduction of a nonlinear biophysical neuronal network model. In Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, December 11-13, 2019. [ preprint ]

[27] Lassi Paunonen. On polynomial stability of coupled PDEs in 1D. In Proceedings of the Semigroups of Operators – Theory and Applications, Kazimierz Dolny, Poland, September 30th - October 5th, 2018. [ preprint arXiv ]

[26] Sepideh Afshar and Lassi Paunonen. Adaptive robust output regulation control design. In Proceedings of the 2019 American Control Conference, Philadelphia, PA, USA, July 10-12, 2019. [ preprint ]

[25] Lassi Paunonen and Jukka-Pekka Humaloja. Dynamic polynomial stabilization of a 1D wave equation. In Proceedings of the SIAM Conference on Control and Its Applications, Chengdu, China, June 19-21, 2019. [ preprint ]

[24] Konsta Huhtala and Lassi Paunonen. Robust Output Regulation of Counter-Flow Heat Exchangers. In Proceedings of the 3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equations and XI Workshop Control of Distributed Parameter Systems, Oaxaca, Mexico, May 20-24, 2019. [ preprint ]

[23] Jukka-Pekka Humaloja and Lassi Paunonen. The Internal Model Principle for Boundary Control Systems with Polynomially Bounded Exogenous Signals. In Proceedings of the 3rd IFAC/IEEE CSS Workshop on Control of Systems Governed by Partial Differential Equations and XI Workshop Control of Distributed Parameter Systems, Oaxaca, Mexico, May 20-24, 2019. [ preprint ]

[22] Jukka-Pekka Humaloja, Lassi Paunonen and Mikael Kurula. A Partial Internal Model for Approximate Robust Output Regulation of Boundary Control Systems. In Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, July 16-20, 2018. [ preprint ]

[21] Duy Phan-Duc and Lassi Paunonen. Robust Controllers for a Heat Equation Using the Galerkin Approximation. In Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems, Hong Kong, China, July 16-20, 2018. [ preprint ]

[20] Lassi Paunonen, Yann Le Gorrec and Hector Ramirez. A Simple Robust Controller for Port-Hamiltonian Systems. In Proceedings of the 6th IFAC Wokshop on Lagrangian and Hamiltonian Methods in Nonlinear Control, Valparaiso, Chile, May 1-4, 2018. [ preprint ]

[19] Mikko Lehtimäki, Lassi Paunonen, Seppo Pohjolainen, and Marja-Leena Linne. Order reduction for a signaling pathway model of neuronal synaptic plasticity. In Proceedings of the 20th IFAC World Congress, Toulouse, France, July 10-14, 2017. [ preprint ]

[18] Lassi Paunonen. Output regulation of infinite-dimensional time-delay systems. In Proceedings of the 2017 American Control Conference, Seattle, WA, USA, May 22-24, 2017. [ preprint ]

[17] Lassi Paunonen and David Seifert. Asymptotic Behaviour of Platoon Systems. In Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, MN, USA, July 12-15, 2016. [ preprint ]

[16] Jukka-Pekka Humaloja, Lassi Paunonen, and Seppo Pohjolainen. Robust Regulation for Even-Order Port-Hamiltonian Systems. In Proceedings of the 22nd International Symposium on Mathematical Theory of Networks and Systems, Minneapolis, MN, USA, July 12-15, 2016. [ preprint ]

[15] Petteri Laakkonen and Lassi Paunonen. A Simple Controller with a Reduced Order Internal Model in the Frequency Domain. In Proceedings of the 15th European Control Conference, Aalborg, Denmark, June 29th - July 1st, 2016. [ preprint ]

[14] Jukka-Pekka Humaloja, Lassi Paunonen, and Seppo Pohjolainen. Robust Regulation for First-Order Port-Hamiltonian Systems. In Proceedings of the 15th European Control Conference, Aalborg, Denmark, June 29th - July 1st, 2016. [ preprint ]

[13] Lassi Paunonen. On Robust Output Regulation for Continuous-Time Periodic Systems. In Proceedings of the SIAM Conference on Control & Its Applications, Paris, France, July 8-10, 2015. [ preprint ]

[12] Lassi Paunonen and Seppo Pohjolainen. A New Controller Structure for Robust Output Regulation. In Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, CA, USA, December 15-17, 2014. [ preprint ]

[11] Lassi Paunonen. On Robustness of Strongly Stable Semigroups with Spectrum on iR. In Proceedings of the Semigroups of Operators: Theory and Applications, Bedlewo, Poland, October 6-11, 2013. [ preprint, proceedings volume, errata ]

[10] Lassi Paunonen and Petteri Laakkonen. On polynomial stability of linear systems. In Proceedings of the Mathematical Theory of Networks and Systems 2014, Groningen, The Netherlands, July 7-11, 2014. [ preprint ]

[9] Lassi Paunonen and Seppo Pohjolainen. Output regulation theory for distributed parameter systems with unbounded control and observation. In Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, December 10-13, 2013. [ preprint ]

[8] Lassi Paunonen and Seppo Pohjolainen. Robustness properties of controllers with reduced order internal models. In Proceedings of the 12th European Control Conference, Zurich, Switzerland, July 17-19, 2013. [ preprint ]

[7] Lassi Paunonen and Seppo Pohjolainen. Feedforward output regulation for distributed parameter systems with infinite-dimensional exosystems. In Proceedings of the 51st IEEE Conference on Decision and Control, Maui, Hawaii, December 10-13, 2012. [ preprint ]

[6] Petteri Laakkonen, Lassi Paunonen and Seppo Pohjolainen. Dual look at robust regulation: Frequency domain and state space approaches. In Proceedings of the 17th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, August 27-30, 2012. [ preprint ]

[5] Lassi Paunonen and Seppo Pohjolainen. Output regulation for general infinite-dimensional exosystems. In Proceedings of the 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, June 20-22, 2012. [ preprint ]

[4] Lassi Paunonen. The infinite-dimensional Sylvester differential equation and periodic output regulation. In Proceedings of the 21st International Workshop on Operator Theory and its Applications, Berlin, Germany, July 12-16, 2010. [ preprint ]

[3] Lassi Paunonen and Seppo Pohjolainen. Output regulation of distributed parameter systems with time-periodic exosystems. In Proceedings of the Mathematical Theory of Networks and Systems 2010, Budapest, Hungary, July 5-9, 2010. [ preprint ]

[2] Lassi Paunonen and Seppo Pohjolainen. On decomposing of infinite-dimensional Sylvester equations. In Proceedings of the European Control Conference 2009, August 23-26, 2009. [ preprint ]

[1] Lassi Paunonen, Seppo Pohjolainen, and Timo Hämäläinen. On infinite-dimensional Sylvester equation and the internal model principle. In Proceedings of the Mathematical Theory of Networks and Systems 2008, July 28 - August 1, 2008. [ preprint ]

Theses:

[2] Lassi Paunonen. Output Regulation Theory for Linear Systems with Infinite-Dimensional and Periodic Exosystems. PhD thesis, Tampere University of Technology, 2011. [ .pdf ]

[1] Lassi Paunonen. Robustness of stability of C0-semigroups. Master's thesis, Tampere University of Technology, 2007. [ .pdf ]