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Hybrid and Networked Dynamical Systems treats a class of systems that is ubiquitous in everyday life. From energy grids to fleets of robots or vehicles to social networks to biological networks, the same scenario arises: dynamical units interact locally through a connection graph to achieve a global task. The book shows how analysis and design tools can be adapted for control applications that combine the effects of network-induced interactions and hybrid dynamics with complex results.
Following a scene-setting introduction, the remaining 12 chapters of the book are divided into three parts and provide a unique opportunity to describe the big picture that is the culmination of years of recent research activity. The contributing authors expand on their ideas at greater length than is possible in an archival research paper and use in-depth examples to illustrate their theoretical work.
The widespread importance of hybrid and networked systems means that the book is of significant interest to academic researchers working in applied mathematics, control, and electrical, mechanical and chemical engineering and to their industrial counterparts.
Romain Postoyan received the "Ingénieur"' degree in Electrical and Control Engineering from ENSEEIHT (France) in 2005. He obtained the M.Sc. by Research in Control Theory & Application from Coventry University (UK) in 2006 and the Ph.D. in Control Theory from Université Paris-Sud (France) in 2009. In 2010, he was a research assistant at the University of Melbourne (Australia). Since 2011, he is a CNRS researcher at the "Centre de Recherche en Automatique de Nancy" (France). He received the "Habilitation à Diriger des Recherches (HDR)" in 2019 from Université de Lorraine (Nancy, France). Romain Postoyan's main research interests include analysis and design of nonlinear and hybrid control systems, nonlinear estimation with application to lithium-ion batteries and dynamic programming. He has served in the TPC of various IEEE and IFAC conferences. He has been a member of the IEEE-CSS Conference Editorial Board and an associate editor for Automatica, IEEE Control Systems Letters, and the IMA Journal of Mathematical Control and Information. He is currently an associate editor for the IEEE Transactions on Automatic Control and the guest executive managing editor for the Nonlinear Analysis: Hybrid Systems special issue on event-triggered and self-triggered control.
Paolo Frasca received the Ph.D. degree in Mathematics for Engineering Sciences from Politecnico di Torino, Torino, Italy, in 2009. Between 2008 and 2013, he held research and visiting positions at the University of California, Santa Barbara (USA), at the IAC-CNR (Rome, Italy), at the University of Salerno (Italy), and at the Politecnico di Torino. From 2013 to 2016, he was an assistant professor at the University of Twente in Enschede, the Netherlands. In October 2016, he joined the CNRS as a researcher: he is currently affiliated with GIPSA-lab in Grenoble, France.
Dr. Frasca's research interests are in the theory of network systems and cyber-physical systems, with applications to robotic, sensor, infrastructural, and social networks. On these topics, Dr. Frasca has (co)authored more than fifty journal and conference papers and has given invited talks at several international institutions and events, including the 2015 SICE International Symposium on Control Systems in Tokyo. He is a recipient of the 2013 SIAG/CST Best SICON Paper Prize. He has been a visiting professor at the LAAS, Toulouse, France, in 2016 and at the University of Cagliari, Italy, in 2017.
Dr. Frasca has served in the Conference Editorial Boards of several events, including IEEE CDC, ACC, ECC, MTNS, and IFAC NecSys and is currently serving as an associate editor for the International Journal of Robust and Nonlinear Control, the Asian Journal of Control, and the IEEE Control Systems Letters.
Elena Panteley received the M.Sc. and Ph.D. degrees in applied mathematics from the State University of St. Petersburg, St. Petersburg, Russia, in 1986 and 1997, respectively. From 1986 to 1998, she held a research position with the Institute for Problem of Mechanical Engineering, Russian Academy of Science, St. Petersburg. Since 2004, she has held a tenure position as a senior researcher of the French National Centre of Scientific Research (CNRS), at the Laboratoire de Signaux et Systèmes, France. Her research interests include stability and control of nonlinear dynamical systems and network systems with applications to electromechanical and neuronal systems.
Luca Zaccarian received the Laurea and the Ph.D. degrees from the University of Roma Tor Vergata (Italy) in 1995 and 2000, respectively. He has been an assistant professor in control engineering at the University of Roma, Tor Vergata (Italy), from 2000 to 2006 and then an associate professor. Since 2011, he is the Directeur de Recherche at the LAAS-CNRS, Toulouse (France), and since 2013, he holds a part-time position at the University of Trento, Italy. Luca Zaccarian's main research interests include analysis and design of nonlinear and hybrid control systems, modeling, and control of mechatronic systems. He has served in the organizing committee and TPC of several IEEE and IFAC conferences. He has been a member of the IEEE-CSS Conference Editorial Board and an associate editor for Systems and Control Letters and IEEE Transactions on Automatic Control. He is currently a member of the EUCA-CEB and a senior editor for the IFAC journal Automatica and an associate editor for the European Journal of Control. He was a nominated member of the Board of Governors of the IEEE-CSS in 2014 and an elected member in 2017-2019. He was the student activities chair for the IEEE-CSS in 2015-2017 and is currently an associate editor of Electronic Publications (Conference Information) for the IEEE-CSS. He was a recipient of the 2001 O. Hugo Schuck Best Paper Award given by the American Automatic Control Council. He is a fellow of the IEEE, class of 2016.
Introduction.- Part I: Networked Systems: Control and Estimation.- 1. Contracting Infinite Gain Margin Feedback and Synchronization of Nonlinear Systems.- 2. Physics-based Output-feedback Consensus-formation Control of Networked Autonomous Vehicles.- 3. Relating the Network Graphs of State-space Representations to Granger Causality Conditions.- Part II: Hybrid Techniques.- 4. Multi-consensus Problems in Hybrid Multi-agent Systems.- 5. Observer Design for Hybrid Systems With Linear Maps and Known Jump Times.- 6. A Joint Spectral Radius for ?-Regular Language Driven Switched Linear Systems.- 7. Control of Uncertain Nonlinear Fully Linearizable Systems.- 8. Improved Synthesis of Saturating Sampled-data Control Laws for Linear Plants.- Part III: Emerging Trends and Approaches for Analysis and Design.- 9.Trends and Questions in Open Multi-Agent Systems.- 10. Layers Update of Neural Network Control via Event-triggering Mechanism.- 11. Data-driven Stabilization of Nonlinear Systems via Taylor's Expansion.- 12. Harmonic Modeling and Control.
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