Humboldt-Universität zu Berlin - Faculty of Mathematics and Natural Sciences - Fields of Research

Publications

Preprints
  • F.M. Hante, C. Kuchler: Indirect methods for optimal control of hybrid PDE-dynamical / switching systems using relaxation. TRR154 Preprint 528, 2023.
    full text (pdf)
  • F.M. Hante, C. Kuchler: An Algorithmic Framework for Optimal Control of Hybrid Dynamical Systems with Parabolic PDEs. TRR154 Preprint 519, 2023.
    full text (pdf)
  • F.M. Hante, S. Meng: Sensitivity-based decision support for critical measures using the example of COVID-19 dynamics. Optimization Online, 2023.
    full text (pdf)
  • F.M. Hante, M. Schmidt: Gas Transport Network Optimization: PDE-Constrained Models. To appear in Encyclopedia of Optimization, 3rd ed. (Panos M. Pardalos and Oleg Prokopyev, Eds.), Springer Nature, 2024.
    full text (pdf, Optimization Online)
Journal Publications
  • F.M. Hante, R. Krug, M. Schmidt: Time-Domain Decomposition for Mixed-Integer Optimal Control Problems. Applied Mathematics and Optimization, Volume 87, Number 36 (2023).
    full text (open access) doi:10.1007/s00245-022-09949-x
  • Y. Brodskyi, F.M. Hante, A. Seidel: Stabilization of Partial Differential Equations by Sequential Action Control. IMA Journal of Mathematical Control and Information, 2022.
     full text (pdf, preprint) doi:10.1093/imamci/dnac021
  • S. Göttlich, F.M. Hante, A. Potschka, L. Schewe: Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints. Mathematical Programming, Vol. 188, pp. 599--619 (2021).
    full text (pdf, TRR154 Preprint 272), doi:10.1007/s10107-021-01656-9
  • M. Gugat, F.M. Hante, L. Jin. Closed loop control of gas flow in a pipe: Stability for a transient model. at - Automatisierungstechnik, Vol. 68, No. 12, 2020, pp. 1001--1010. (2020).
      full text (pdf, TRR154 Preprint 318), DOI:10.1515/auto-2020-0071
  • F.M. Hante, M. Schmidt: Convergence of Finite-Dimensional Approximations for Mixed-Integer Optimization with Differential Equations. Control and Cybernetics, Vol. 48, Nr. 2, pp. 209--230 (2019).
      full text (pdf, Optimization Online:2018-12-6973 preprint)
  • F.M. Hante, M. Schmidt: Complementarity-Based Nonlinear Programming Techniques for Optimal Mixing in Gas Networks. EURO Journal on Computational Optimization, DOI:10.1007/s13675-019-00112-w (2019).
      fulltext (pdf, TRR154 Preprint 169), DOI:10.1007/s13675-019-00112-w
  • M. Gugat, F.M. Hante: On the turnpike phenomenon for optimal boundary control problems with hyperbolic systems. SIAM Journal on Control and Optimization. Vol. 57, Nr. 1, pp. 264--289 (2019).
      full text (pdf, ArXiv:1806.04438 preprint), DOI:10.1137/17M1134470
  • F. Rüffler, V. Mehrmann, F.M. Hante: Optimal Model Switching for Gas Flow in Pipe Networks. Networks and Heterogeneous Media, Vol. 13, Nr. 4, pp. 641--661 (2018).
      full text via DOI:10.3934/nhm.2018029, pre-review preprint (pdf, TRR154 Preprint 232)
  • F.M. Hante: Relaxation Methods for Hyperbolic PDE Mixed-Integer Optimal Control Problems. Optimal Control Applications and Methods. Vol. 38, Nr. 6, pp. 1103--1110, (2017).
      full text via DOI:10.1002/oca.2315 pre-review preprint (pdf, arXiv:1509.04052)
  • M. Gugat, F.M. Hante: Lipschitz Continuity of the Value Function in Mixed-Integer Optimal Control Problems. Mathematics of Control, Signals, and Systems. Vol. 29, Nr. 1, (2017).
      full text (pdf, arXiv:1612.04639 preprint) DOI:10.1007/s00498-016-0183-4
  • F. Rüffler, F.M. Hante: Optimal Switching for Hybrid Semilinear Evolutions. Nonlinear Analysis: Hybrid Systems. Vol. 22, pp. 215--227 (2016).
      full text (open-access, Elsevier) DOI:10.1016/j.nahs.2016.05.001
  • T. Elbinger, M. Gahn, M. Neuss-Radu, F.M. Hante, L.M. Voll, G. Leugering, P. Knabner: Model based design of biochemical micro-reactors. Frontiers in Bioengineering and Biotechnology, Vol. 4, Nr. 13 (2016).
      full text (open-access, frontiers in) DOI:10.3389/fbioe.2016.00013
  • P. Domschke, M. Groß, B. Hiller, F.M. Hante, L. Schewe, M. Schmidt: Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken. In gwf-gas/erdgas, Vol. 11/2015, pp. 880--885 (Nov. 2015).
      full text (pdf, di-verlag)
  • F.M. Hante, M.S. Mommer, A. Potschka: Newton-Picard preconditioners for time-periodic, parabolic optimal control problems. SIAM Journal on Numerical Analysis, Vol. 53, Nr. 5, pp. 2206--2225 (2015).
      full text via DOI:10.1137/140967969
  • M. Gugat, F.M. Hante, M. Hirsch-Dick, G. Leugering: Stationary States in Gas Networks. In Networks and Heterogeneous Media, Vol. 10, Nr. 2, pp. 295--320 (June 2015).
      full text via DOI:10.3934/nhm.2015.10.295
  • F.M. Hante, S. Sager: Relaxation Methods for Mixed-Integer Optimal Control of Partial Differential Equations. Computational Optimization and Applications, Vol. 55, Nr. 1, pp 197--225. (May 2013)
      full text (pdf, arXiv:1202.5479 preprint), DOI:10.1007/s10589-012-9518-3
  • F.M. Hante, M. Sigalotti, M. Tucsnak: On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping. Journal of Differential Equations, Vol. 252, Nr. 10, pp. 5569--5593, (May 2012).
      full text (pdf, arXiv:1108.4327 preprint), DOI:10.1016/j.jde.2012.01.037
  • S. Amin, F.M. Hante, A.M. Bayen: Exponential Stability of Switched Linear Hyperbolic Initial-Boundary Value Problems. IEEE Transactions on Automatic Control, Vol. 57, Nr. 2, pp. 291--301, (February 2012).
      full text via DOI:10.1109/TAC.2011.2158171
  • F.M. Hante, M. Sigalotti: Converse Lyapunov Theorems for Switched Systems in Banach and Hilbert Spaces. SIAM Journal on Control and Optimization, Vol. 49, Nr. 2, pp. 752--770, (April 2011).
      full text (pdf, arXiv:1006.1749 preprint), DOI:10.1137/100801561
  • F.M. Hante, G. Leugering, T.I. Seidman: An Augmented BV Setting for Feedback Switching Control. Journal of Systems Science and Complexity, Vol. 23, Nr. 3, pp. 456--466, (June 2010).
      full text via DOI:10.1007/s11424-010-0140-0
  • F.M. Hante, G. Leugering, T.I. Seidman: Modeling and Analysis of Modal Switching in Networked Transport Systems. Applied Mathematics and Optimization, Vol. 59, Nr. 2, pp. 275--292, (April 2009).
      full text via DOI:10.1007/s00245-008-9057-6
Peer-reviewed Proceedings and Book Chapters
  • F.M. Hante, M. Schmidt: Gas Transport Network Optimization: Mixed-Integer Nonlinear Models. In: Pardalos, P.M., Prokopyev, O.A. (eds) Encyclopedia of Optimization. Springer, Cham (2024).
    full text (pdf, Optimization Online) doi:10.1007/978-3-030-54621-2_873-1
  • F.M. Hante: Relaxation methods for optimal switching control of PDE-dynamical systems. Handbook of Numerical Analysis, Numerical Control: Part B, Enrique Zuazua and E. Trelat (Eds.), Volume 24, 2023, Pages 61-76 (2022).
    full text (pdf, TRR154 Preprint 469) doi:10.1016/bs.hna.2022.10.004
  • F.M. Hante: Mixed-Integer Optimal Control for PDEs: Relaxation via Differential Inclusions and Applications to Gas Network Optimization. In: P. Manchanda, R. Lozi, A.H. Siddiqi (Eds.). Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics, pp. 157-171, Springer Singapore (2020).
      full text (pdf, TRR154 Preprint 241, 2019) doi:10.1007/978-981-15-0928-5_7
  • F. Rüffler, F.M. Hante: Optimality Conditions for Switching Operator Differential Equations. Proc. Appl. Math. Mech. Vol. 17, pp. 777--778 (2018).
      full text (pdf, TRR154 preprint), DOI:10.1002/pamm.201710356
  • F.M. Hante, G. Leugering, A. Martin, L. Schewe, M. Schmidt: Challenges in optimal control problems for gas and fluid flow in networks of pipes and canals: From modeling to industrial applications. In: Industrial Mathematics and Complex Systems, P. Manchanda, R. Lozi, A.H. Siddiqi (Eds.), Springer Singapore, pp. 77--122, (2017).
      full text (pdf, TRR154 preprint), DOI:10.1007/978-981-10-3758-0_5
  • F.M. Hante: On the relaxation gap for PDE mixed-integer optimal control problems. Proc. Appl. Math. Mech., Vol. 16, pp. 783--784, (2016).
      full text via DOI:10.1002/pamm.201610380
  • F.M. Hante, M. Sigalotti: Existence of Common Lyapunov Functions for Infinite-Dimensional Switched Linear Systems. In Proc. of the 49th IEEE Conference on Decision and Control, Atlanta, USA, Dec. 15-17, 2010, pp. 5668--5673, (2010).
      full text via DOI:10.1109/CDC.2010.5716961
  • F.M. Hante, G. Leugering: Optimal Boundary Control of Convention-Reaction Transport Systems with Binary Control Functions. In Hybrid Systems: Computation and Control, R. Majumdar and P. Tabuada (Eds.), Springer LNCS, Vol. 5469, pp. 209--222, (2009).
      full text via DOI:10.1007/978-3-642-00602-9_15
  • S. Amin, F.M. Hante, A.M. Bayen: Stability Analysis of Linear Hyperbolic Systems with Switching Parameters and Boundary Conditions. In Proc. of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec. 9-11, 2008, pp. 2081--2086, (2008).
      full text via DOI:10.1109/CDC.2008.4739181
  • S. Amin, F.M. Hante, A.M. Bayen: On stability of switched linear hyperbolic conservation laws with reflecting boundaries. In Hybrid Systems: Computation and Control, M. Egerstedt and B. Mishra (Eds.), Springer LNCS, Vol. 4981, pp. 602--605, (2008).
      full text via DOI:10.1007/978-3-540-78929-1_44
Reports
  • F.M. Hante, R. Krug, M. Schmidt: Time-Domain Decomposition for Mixed-Integer Optimal Control Problems, Oberwolfach Report No. 35/2023, 2023.
      full text (pdf), DOI:10.14760/OWR-2023-35
  • Y. Brodskyi, F.M. Hante, A. Seidel: Sequential Action Control for Stabilization of PDE-Dynamical Systems, Oberwolfach Report No. 9/2021, 2021.
      full text (pdf), DOI:10.4171/OWR/2021/9
  • F. Rüffler, F.M. Hante, V. Mehrmann: Optimal model switching for gas flow in pipe networks, Oberwolfach Report No. 16/2018, 2018.
      full text (pdf), DOI:10.4171/OWR/2018/16
Theses
  • F.M. Hante: Stability and Optimal Control of Switching PDE-Dynamical Systems. University Erlangen-Nuremberg, Habilitationsschrift, 2018.
      full text (pdf), arXiv:1802.08143
  • F.M. Hante: Hybrid Dynamics Comprising Modes Governed by Partial Differential Equations: Modeling, Analysis and Control for Semilinear Hyperbolic Systems in One Space Dimension. University Erlangen-Nuremberg, Dissertation, 2010 [online].
      full text (pdf), URN:nbn:de:bvb:29-opus-19356
  • F.M. Hante: Gesteuert invariante Mengen diskret-kontinuierlicher dynamischer Systeme. University Erlangen-Nuremberg, Diplomarbeit, 2006.
Other Publications
  • U. Eberle, F. Liers, F. Hante, M. Stingl: Making Progress towards Gender Parity and Increased Diversity, SIAM News, Vol. 52, Nr. 03 (April 2019), 2019.
      full text (link)