Topological Obstructions to Stability and Stabilization

Wouter Jongeneel received the M.Sc. degree in Systems and Control from Delft University of Technology in 2019 and is currently pursuing the Ph.D. degree in Electrical Engineering at the École Polytechnique Fédérale de Lausanne (EPFL). His research is centered around the interplay of control, dynamical systems, optimization, and topology.  

Emmanuel Moulay received his M.S. degree in mathematics from the University of Lille, France, in 2002. He obtained his Ph.D. degree in automatic control in 2005 from the Ecole Centrale de Lille and his habilitation from the University of Poitiers in 2014. He joined the CNRS as a research scientist at the Ecole Centrale de Nantes in 2006 and moved at the XLIM institute of the University of Poitiers in 2009. He is also an adjunct professor in the department of Electrical and Computer Engineering at the University of Nebraska-Lincoln since 2020. His main interests are in control theory and its practical applications.
He has published over 100 research articles in international journals and conferences and worked on the topological obstructions to stability and stabilization; he has also published 2 book chapters in the Springer book series Lecture Notes in Control and Information Sciences.

1. Introduction.- 2. General topology.- 3. Di erential topology.- 4. Algebraic topology.- 5. Dynamical control systems.- 6. Topological obstructions.- 7. Towards accepting and overcoming topological obstructions.- 8. Generalizations and open problems.