October 04, 2024, Webb Hall 1100

In this talk, we will explore the role of monotonicity in enabling modular control design for stabilization and multi-stabilization of networked nonlinear systems. We begin by demonstrating that the variational systems of monotone systems can be embedded into positive systems. Based on this embedding, we address a network stabilization problem through the enforcement of monotonicity and exponential dissipativity of network sub-components. We then extend this approach to solve a network multi-stabilization problem. Both problems can be decomposed into the analysis of each network component and the in- or out-degree of each interconnection.

Yu Kawano has been an Associate Professor at the Graduate School of Advanced Science and Engineering at Hiroshima University since 2019. He received his M.S. and Ph.D. degrees in Engineering from Osaka University, Japan, in 2011 and 2013, respectively. Following this, he served as a Post-Doctoral Researcher at Kyoto University, Japan, before moving to the University of Groningen, The Netherlands, in 2016. He has held visiting research positions at Tallinn University of Technology, Estonia, the University of Groningen, and the University of Pavia, Italy. His research interests include nonlinear systems, complex networks, model reduction, and privacy of control systems. He is an Associate Editor for Systems and Control Letters, the IEEE CSS Conference Editorial Board, and the EUCA Conference Editorial Board.