- Info
M. Kanat Camlibel
Professor, Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen
M. Kanat Camlibel received the Ph.D. degree in mathematical theory of systems and control from Tilburg University in 2001. From 2001 to 2005, he held post-doctoral positions at the University of Groningen and Tilburg University. Between 2005 and 2007, he was an assistant professor at Eindhoven University of Technology. In 2007, he joined the University of Groningen where he is currently a full professor at the Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence. His research interests include differential variational inequalities, complementarity problems, optimization, piecewise affine dynamical systems, switched linear systems, constrained linear systems, multi-agent systems, model reduction, geometric theory of linear systems, dynamical networks and data-driven control. Dr. Camlibel is an associate editor of the IEEE Transactions on Automatic Control, and is the past associate editor of International Journal of Robust and Nonlinear Control, SIAM Journal on Control and Optimization, and Systems and Control Letters.
Scalable controllability analysis of structured networks
hours: 9.00 to 10:00 Central European Time
This talk deals with strong structural controllability of structured networks. A structured network is a family of structured systems (called node systems) that are interconnected by means of a structured interconnection law. The node systems and their structured interconnection law are given by pattern matrices. We will show that a structured network is strongly structurally controllable if and only if an associated structured system is. This structured system will in general have a very large state space dimension, and therefore existing tests for verifying strong structural controllability are not tractable. The results we present circumvent this problem. We show that controllability can be tested by replacing the original network by a new network in which all original node systems have been replaced by (auxiliary) node systems with state space dimensions either 1 or 2. Hence, controllability of the original network can be verified by testing controllability of a structured system with state space dimension at most twice the number of node systems, regardless of the state space dimensions of the original node systems.