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, François Glineur, Geovani Grapiglia, Julien Hendrickx, Raphaël Jungers, Philippe Lefèvre, Pierre Schaus

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. De Comite, Antoine; Lefèvre, Philippe; Crevecoeur, Frédéric. Reward-Dependent Selection of Feedback Gains Impacts Rapid Motor Decisions. In: eneuro, Vol. 9, no.2, p. ENEURO.0439-21.2022 (2022). doi:10.1523/eneuro.0439-21.2022. http://hdl.handle.net/2078.1/262948

2. Absil, Pierre-Antoine; Olikier, Guillaume. On the Continuity of the Tangent Cone to the Determinantal Variety. In: Set-Valued and Variational Analysis, Vol. 30, p. 769-788 (2022). doi:10.1007/s11228-022-00629-0. http://hdl.handle.net/2078.1/262947

3. Glineur, François; Dong, Shuyu; Gao, Bin; Guan, Yu. New Riemannian Preconditioned Algorithms for Tensor Completion via Polyadic Decomposition. In: SIAM Journal on Matrix Analysis and Applications, Vol. 43, no.2, p. 840-866 (2022). doi:10.1137/21M1394734. http://hdl.handle.net/2078.1/261119

4. Mattenet, Sébastien. An improved finiteness test and a systematic procedure to compute the strong H2 norm of differential algebraic systems with multiple delays. In: Automatica, (2022). (Soumis). http://hdl.handle.net/2078.1/260467

5. Debauche, Virginie; Jungers, Raphaël M.; Della Rossa, Matteo. Comparison of Path-Complete Lyapunov Functions via Template-Dependent Lifts. In: Nonlinear Analysis: Hybrid Systems, (2022). (Soumis). http://hdl.handle.net/2078.1/260444

6. Neves Egidio, Lucas; Jungers, Raphaël M.; Grace S. Deaecto. Stabilization of rank-deficient continuous-time switched affine systems. In: Automatica, (2022). (Accepté/Sous presse). http://hdl.handle.net/2078.1/260423

7. Daroczy, Balint Zoltan. Gaussian Perturbations in ReLU Networks and the Arrangement of Activation Regions. In: Mathematics, Vol. 10, no.7, p. 1123 (2022). doi:10.3390/math10071123. http://hdl.handle.net/2078.1/259924

8. Kasuga, Shoko; Cross, Kevin P.; Balalaie, Parsa; Scott, Stephen H.; Crevecoeur, Frédéric. Integration of proprioceptive and visual feedback during online control of reaching. In: Journal of Neurophysiology, Vol. 127, no.2, p. 354-372 (2022). doi:10.1152/jn.00639.2020. http://hdl.handle.net/2078.1/257938

9. Hendrickx, Julien; Cassandras, Christos.G; Andersson, Sean.B; Pinto, Samuel. C. Multi-Agent Persistent Monitoring of Targets with Uncertain States. In: IEEE Transactions on Automatic Control, (2022). (Accepté/Sous presse). http://hdl.handle.net/2078.1/257423

10. Hendrickx, Julien; Monnoyer De Galland De Carnières, Charles. Fundamental Performance Limitations for Average Consensus in Open Multi-Agent Systems. In: IEEE Transactions on Automatic Control, (2022). (Accepté/Sous presse). http://hdl.handle.net/2078.1/257419

Conference Papers

1. Ren, Wei; Jungers, Raphaël M.. Reachability-based Control Synthesis under Signal Temporal Logic Specifications. In: 2022 American Control Conference, 2022 xxx. http://hdl.handle.net/2078.1/260448

2. Ren, Wei; Jungers, Raphaël M.. Optimal Resource Scheduling and Allocation in Distributed Computing Systems. In: 2021 American Control Conference, 2022, p. 1-8 xxx. http://hdl.handle.net/2078.1/260442

3. Debauche, Virginie; Jungers, Raphaël M.; Della Rossa, Matteo. Necessary and Sufficient Conditions for Template-Dependent Ordering of Path-Complete Lyapunov Methods. In: ACM Conference on Hypertext and Hypermedia. Proceedings. (2022). Association for Computing Machinery, Inc. 2022 xxx. http://hdl.handle.net/2078.1/260437

4. Ren, Wei. Razumikhin-type Control Lyapunov and Barrier Functions for Time-Delay Systems. In: 2021 60th IEEE Conference on Decision and Control (CDC), 2021, 978-1-6654-3659-5, p. 5471-5476 xxx. doi:10.1109/cdc45484.2021.9682928. http://hdl.handle.net/2078.1/260449

5. Ren, Wei; Jungers, Raphaël M.. Event-Triggered Tracking Control of Networked and Quantized Control Systems. In: 2021 European Control Conference (ECC), 2021, 978-9-4638-4236-5, p. 632-637 xxx. doi:10.23919/ecc54610.2021.9654945. http://hdl.handle.net/2078.1/260441

6. Calbert, Julien; Ren, Wei; Jungers, Raphaël M.. Zonotope-based Controller Synthesis for LTL Specifications. In: 2021 60th IEEE Conference on Decision and Control (CDC), 2021, 978-1-6654-3659-5, p. 580-585 xxx. doi:10.1109/cdc45484.2021.9683150. http://hdl.handle.net/2078.1/260438

7. Debauche, Virginie; Jungers, Raphaël M.. Comparison of Path-Complete Stability Criteria via Quantifier Elimination. 2021 xxx. http://hdl.handle.net/2078.1/260430

8. Debauche, Virginie; Jungers, Raphaël M.; Della Rossa, Matteo. Template-Dependent Lifts for Path-Complete Stability Criteria and Application to Positive Switching Systems. In: IFAC Proceedings. Vol. 54, no.5, p. 151-156 (2021). Elsevier Ltd. * Books Division, 2021 xxx. doi:10.1016/j.ifacol.2021.08.490. http://hdl.handle.net/2078.1/260428

9. Berger, Guillaume O.; Jungers, Raphael M.; Wang, Zheming. Data-driven feedback stabilization of switched linear systems with probabilistic stability guarantees. In: 2021 60th IEEE Conference on Decision and Control (CDC). In: Data-driven feedback stabilization of switched linear systems with probabilistic stability guarantees, IEEE: USA, 2021, 978-1-6654-3659-5 xxx. doi:10.1109/cdc45484.2021.9683233. http://hdl.handle.net/2078.1/260414

10. Rossa, Matteo Della; Jungers, Raphael M.; Wang, Zheming; Egidio, Lucas N.. Data-driven stability analysis of switched affine systems. In: 2021 60th IEEE Conference on Decision and Control (CDC). Vol. 60, no./, p. 3204-3209 (2021). 2021 xxx. doi:10.1109/cdc45484.2021.9682823. http://hdl.handle.net/2078.1/260306