Dynamical Systems, Control and Optimization

Space Greenhouse

Picture : schematic view of the space greenhouse

The Dynamical Systems, Control and Optimization group gathers about a dozen professors and over 30 PhD students and postdoctoral researchers.

Principal Investigators :

Pierre-Antoine AbsilVincent Blondel, Frédéric Crevecoeur, Jean-Charles Delvenne, Yves Deville, Denis DochainFrançois Glineur, Julien Hendrickx, Raphaël Jungers, Philippe Lefèvre, Yurii Nesterov, Pierre Schaus, Vincent Wertz

Research Areas :

Identification of dynamical systems is one of the first steps in the study of dynamical systems, since it addresses the issue of finding an appropriate model for its input/output behavior. Much of our work on identification has focused on understanding the connections between, identifiability, informative experiments, the information matrix and the minimization of a prediction error criterion.

Several new multi-agent models have been proposed and studied with behavior reminiscent of the partial entrainment behavior of the Kuramoto-Sakaguchi model, but with a greater potential for analysis and with applications to systems not related to coupled oscillators. The main emphasis on these dynamic models is to analyze the asymptotic clustering behavior. The analysis of such models is relevant in the study of opinion formation, interconnected water basins, platoon formation in cycling races, and the minimum cost flow problem.

We study fundamental issues in modeling, control design and stability analysis of physical networks described by hyperbolic systems of conservation laws and by distributed parameter systems modeling e.g. tubular reactors. We also study problems related to optimal prediction of nonlinear systems, such as the flow in channels (modeled by Saint-Venant equations), the modeling of the water level in water basins in order to prevent flooding and the prediction and control of traffic jams.

Optimization techniques play a fundamental role in the area of dynamical systems and they are being developed and analyzed at several levels, depending on the type of variables one wishes to optimize. Variables can be discrete (as in graph theoretic problems) or continuous (as in parametric optimization), but can also be infinite dimensional (as in optimal control over function spaces) and constrained (as in optimization on manifolds or on cones). The group has activities in each of these areas and also develops special purpose numerical techniques for dealing efficiently with such problems.

The activities here include microbial ecology and the modeling of wastewater treatment, including applications to various biological wastewater systems. We developed population balance models covering a large spectrum of applications in the industry of polymer production, crystallization, biotechnology or any process in which the size distribution of particles is essential for process quality. We also study the design and application of observers converging in finite time for a class of fed-batch processes.

We combine theoretical and experimental approaches to investigate the neural control of movement and its interactions with our environment. The mathematical models that are developed are based on experimental results from both normal and pathological subjects (clinical studies) and focus on the interaction between different types of eye movements and on eye/hand coordination. Our main research objective is to gain further insight into the nature and characteristics of high-level perceptual and motor representations in the human brain. 

Most recent publications

Below are listed the 10 most recent journal articles and conference papers produced in this research area. You also can access all publications by following this link : see all publications.

Journal Articles

1. HASTIR, Anthony; LAMOLINE, François; Winkin, Joseph; Dochain, Denis. Analysis of the existence of equilibrium profiles in nonisothermal axial dispersion tubular reactors. In: IEEE Transactions on Automatic Control, (2019). doi:10.1109/TAC.2019.2921675 (Accepté/Sous presse). http://hdl.handle.net/2078.1/216392

2. Gerencser, Balazs; Hendrickx, Julien. Improved mixing rates of directed cycles by added connection. In: Journal of Theoretical Probability, Vol. 32, no. 2, p. 684-701 (2019). doi:10.1007/s10959-018-0861-x. http://hdl.handle.net/2078.1/213943

3. Crevecoeur, Frédéric; Gevers, Michel. Filtering compensation for delays and prediction errors during sensorimotor control. In: Neural Computation, Vol. 31, p. 1-27 (2019). doi:10.1162/neco_a_01170. http://hdl.handle.net/2078.1/213279

4. Dopico, Froilán M.; Pérez, Javier; Van Dooren, Paul. Block minimal bases ℓ-ifications of matrix polynomials. In: Linear Algebra and its Applications, Vol. 562, p. 163-204 (2019). doi:10.1016/j.laa.2018.10.010. http://hdl.handle.net/2078.1/207917

5. Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul. Robust port-Hamiltonian representations of passive systems. In: Automatica, Vol. 100, p. 182-186 (2019). doi:10.1016/j.automatica.2018.11.013. http://hdl.handle.net/2078.1/207906

6. Necoara, I.; Patrascu, A.; Glineur, François. Complexity of first-order inexact Lagrangian and penalty methods for conic convex programming. In: Optimization Methods and Software, Vol. 34, no. 2, p. 305-335 (2019). doi:10.1080/10556788.2017.1380642. http://hdl.handle.net/2078.1/195726

7. Iutzeler, F.; Hendrickx, Julien. A generic online acceleration scheme for optimization algorithms via relaxation and inertia. In: Optimization Methods and Software, Vol. 34, no. 2, p. 383-405 (2019). doi:10.1080/10556788.2017.1396601. http://hdl.handle.net/2078.1/191988

8. Gerencser, Balazs; Hendrickx, Julien. Push sum with transmission failures. In: IEEE Transactions on Automatic Control, Vol. 64, no. 3, p. 1019-1033 (2018). doi:10.1109/TAC.2018.2836861. http://hdl.handle.net/2078.1/214050

9. Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul. The Generalized Schur Algorithm and Some Applications. In: Axioms, Vol. 7, no.4, p. 81 (2018). doi:10.3390/axioms7040081. http://hdl.handle.net/2078.1/207921

10. Gonze, François; Gusev, Vladimir; Gerencser, Balazs; Jungers, Raphaël M.; Mikhail V. Volkov. On the interplay between Babai and Cerny’s conjectures. In: international journal on foundation of computer science,. (Accepté/Sous presse). http://hdl.handle.net/2078.1/203300

Conference Papers

1. Olikier, Guillaume; Absil, Pierre-Antoine; De Lathauwer, Lieven. Variable Projection Applied to Block Term Decomposition of Higher-Order Tensors. In: Latent Variable Analysis and Signal Separation : Lecture Notes in Computer Science, Springer International Publishing, 2018, 9783319937632, p. 139-148. doi:10.1007/978-3-319-93764-9_14. http://hdl.handle.net/2078.1/206952

2. Renard, Emilie; Gallivan, Kyle A.; Absil, Pierre-Antoine. A Grassmannian Minimum Enclosing Ball Approach for Common Subspace Extraction. In: Latent Variable Analysis and Signal Separation : Lecture Notes in Computer Science, Springer International Publishing, 2018, 9783319937632, p. 69-78. doi:10.1007/978-3-319-93764-9_7. http://hdl.handle.net/2078.1/206910

3. Lara Cisneros, Gerardo; Dochain, Denis. On-line estimation of the VFA concentration in anaerobic digestion processes based on a super-twisting observer. In: IEEE Xplore digital library (IEEE/IET Electronic Library). IEEE: Piscataway, 2018. http://hdl.handle.net/2078.1/197274

4. Martin, Benoît; Glineur, François; De Rua, Philippe; De Jaeger, Emmanuel. Loss reduction in a windfarm participating in primary voltage control using an extension of the Convex DistFlow OPF. In: Proceedings of the 20th Power Systems Computation Conference, IEEE, 2018, 978-1-910963-10-4. doi:10.23919/PSCC.2018.8442758. http://hdl.handle.net/2078.1/195309

5. Romo Hernandez, Aaron; Dochain, Denis; Hudon, Nicolas; Ydstie, Birger Erik. A Non-equilibrium Approach to Model Flash Dynamics with Interface Transport. In: IFAC Papers-on-Line. Vol. 51, no. 18, p. 874-879. http://hdl.handle.net/2078.1/195026

6. Dilip, S.; Athanasopoulos, Nikolaos; Jungers, Raphaël M.. The impact of packet dropouts on the reachability energy. http://hdl.handle.net/2078.1/194094

7. Dzyga, Michalina; Ferens, Robert; Gusev, Vladimir; Szykula, Marek. Attainable Values of Reset Thresholds. In: Leibniz International Proceedings in Informatics (LIPIcs). Vol. 83, no.40, p. 1-14 (2017). Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik: Dagstuhl, Germany, 2017. doi:10.4230/LIPIcs.MFCS.2017.40. http://hdl.handle.net/2078.1/196224

8. Cláudio Gomes; Legat, Benoît; Jungers, Raphaël M.; Hans Vangheluwe. Stable Adaptive Co-simulation: A Switched Systems Approach. http://hdl.handle.net/2078.1/195570

9. Sketch, Sean M.; Simpson, Cole S.; Crevecoeur, Frédéric; Okamura, Allison M.. Simulating the impact of sensorimotor deficits on reaching performance. In: 2017 International Conference on Rehabilitation Robotics (ICORR), IEEE, 2017. doi:10.1109/icorr.2017.8009217. http://hdl.handle.net/2078.1/194812

10. Bhowmick, Ayan Kumar; GUEUNING, Martin; Delvenne, Jean-Charles; Lambiotte, Renaud; Mitra, Bivas. Temporal Pattern of (Re)tweets Reveal Cascade Migration. In: Proceedings of the 2017 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining 2017 - ASONAM '17, ACM Press, 2017, p. 483-488. doi:10.1145/3110025.3110084. http://hdl.handle.net/2078.1/194702