Head of the Research Group: Prof. Gábor SZEDERKÉNYI
Members of the Research Group: Balázs CSUTAK, Gergely HORVÁTH, Gyula MOLNÁR, Dr. Péter POLCZ, Dávid SOMOGYI, Zita WAGNER
Contact: szederkenyi@itk.ppke.hu
The application of mathematical models describing a certain aspect of reality is indispensable for the understanding and efficient operation of technological or natural systems. When we are interested in the evolution of certain quantities, usually in time and/or space, we use dynamic models. The deep understanding and targeted manipulation of such models’ behavior are studied within systems and control theory, which provides a common framework for handling dynamical models from different application fields and thus helps form an interdisciplinary viewpoint. The primary target of our research is the analysis, control, and identification of biologically motivated systems, matching the main focus of the Faculty. In our work, we pay special attention to positive systems, where the state variables remain nonnegative during operation, usually due to physical, chemical, or biological constraints. Our latest research problems are related to biochemical reaction networks and compartmental models, including the deterministic and stochastic description of gene regulation networks, networked flow models, and epidemic processes.
More information about the research group
Controlled stationary probability density function of a 3-dimensional repressilator model, where the control goal was to increase the probability of the originally improbable (middle) region of the state space.
Future research directions, collaboration opportunities
The group is open to student and researcher exchange (e.g., in the framework of the Erasmus program) as well as to joint research in interdisciplinary areas related to nonlinear systems and control theory.
Key publications
- Wiersdalen, S., Pereira, M., Lang, A., Szederkényi, G., Auriol, J., & Kulcsár, B. (2026). Linear Lyapunov Functions for Nonlinear Compartmental Systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL
- Vághy, M. A., & Szederkényi, G. (2025). Asymptotic stability of delayed complex balanced reaction networks with non-mass action kinetics. JOURNAL OF NONLINEAR SCIENCE, 35(1), 20.
- Polcz, P., Reguly, Z., Tornai, K., Juhász, J., Pongor, S., Csikász-Nagy, A., & Szederkényi, G. (2025). Smart epidemic control: A hybrid model blending ODEs and agent-based simulations for optimal, real-world intervention planning. PLOS COMPUTATIONAL BIOLOGY, 21(5), e1013028.
