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About us Faculty of Science and Engineering Data Science & Systems Complexity (DSSC) About Data Science & Systems Complexity (DSSC)

Research profile Prof. dr. M.K. (Kanat) Camlibel

Johann Bernoulli Institute for Mathematics and Computer Science

Description of research:

Systems and control theory is an interdisciplinary branch of mathematics and engineering that studies how to shape the behaviour of dynamical systems with external inputs by means of feedback. Within the broad are of systems and control, my research activities are predominantly centred around two main themes: differential variational inequalities anddynamical networks.

One line of research that I have been following since I have obtained my PhD deals with developing a geometric feedback control theory for nonsmooth dynamical systems given by (piecewise affine) differential variational inequalities. On the practical side, I am particularly interested in applications of such systems in the modelling of physical systems mainly in the context of energy systems. On the theoretical side, I am dealing with the fundamental issues such as well-posedness, controllability, observability, observer-based stabilisation, disturbance decoupling, optimal control, and model reduction of differential variational inequalities.

In the area of dynamical networks, my research is focused on robust synchronisation, controllability, fault detection, and model reduction of linear multi-agent systems. My work on dynamical networks was initiated by the investigation of synchronisation, controllability and fault detection problems for systems defined on graphs with a geometric approach. Although my efforts led to solutions for these problems, the methods developed required exponentially increasing computer power with the increase of network complexity. As a result, I have been recently investigating model reduction methodologies based on clustering the agents into groups and/or removal of connections in such a way that a pre-specified feature, such as synchronisation, is preserved. Such model reduction methods lead to simpler models of large-scale complex dynamical networks that can still capture the underlying properties of the connectivity structure.

Within the DSSC framework, I envision establishing new collaborations and enhancing the existing ones in the context of complex systems with an eye towards big data.  

Websites:
Employee (corporate homepage): http://www.rug.nl/staff/m.k.camlibel/

Last modified:14 February 2018 10.40 a.m.