About
My research focuses on the stability analysis and control of hybrid dynamical systems and multi-agent nonlinear systems. Among others, synchronization phenomena and the multi-cluster behavior of complex dynamical networks are the primary focus areas of my research. In particular, my results contribute towards a deeper understanding of the internal organization of neuro-inspired oscillator networks by exploring the interplay between the dynamical behavior of oscillators, adaptation mechanisms of the couplings, and the interconnection topology of the network. Also, I am interested in the mathematical theory of multi-frequency oscillations, analytical and computational approaches for stability and safety verification of cyber-physical systems, interference of control and machine learning algorithms.
See also: personal web-page at VUW and my Google Scholar profile.
News
02.02.2024: Our new paper Criticality in FitzHugh-Nagumo oscillator ensembles: Design, robustness, and spatial invariance is available at https://www.nature.com/articles/s42005-024-01530-y.
28.03.2023: Our new paper Artificial homeostatic temperature regulation via bio-inspired feedback mechanisms is available at https://www.nature.com/articles/s41598-023-31963-4.
12.09.2022: Our new paper Structural plasticity driven by task performance leads to criticality signatures in neuromorphic oscillator networks (with Thomas Meurer and Hermann Kohlstedt) is available at https://www.nature.com/articles/s41598-022-19386-z.
08.09.2022: Our new paper Global attractors of mild solutions semiflow for semilinear parabolic equation without uniqueness has been published in Applied Mathematics Letters.
04.02.2022: I am glad to announce that I have been recognized by the journal IEEE Control Systems Letters (L-CSS) for the outstanding service as reviewer in 2021.
24.01.2022: Our new paper "Unknown Input Reconstruction from Temporal Activity Patterns of Thermosensitive Neuronal Ensembles using Reservoir Computing" (with Alexander Schaum and Thomas Meurer) has been accepted for the presentation at the 10th Vienna International Conference on Mathematical Modelling (MATHMOD 2022).
26.10.2021: Our new paper Robust impulsive observer design for infinite-dimensional cell population balance models (with Alexander Schaum and Pascal Jerono) has been published in the International Journal of Robust and Nonlinear Control.
13.07.2021: Our new paper on the modeling of hybrid behaviors (with Vladimir Klinshov and Leonhard Lücken) has been accepted to the Communications in Nonlinear Science and Numerical Simulation and it is available online following this link.
01.07.2021: I am happy to announce that I have been awarded the 2021 KiNSIS Early Career Award for my contributions to the analysis and control of neuro-inspired networked systems. A press release of Kiel University is available following these links: English / German.
19.04.2021: Our papers Safety verification for impulsive systems (with Sergiy Bogomolov and Thomas Meurer) and Dissipative PI control for a class of semilinear heat equations with actuator disturbance (with Alexander Schaum and Thomas Meurer) have been published in the Proceedings of the 21st IFAC World Congress.
02.03.2021: Our new paper On the interpretation of Dirac δ pulses in differential equations for phase oscillators (with Vladimir Klinshov and Leonhard Lücken) has been published in Chaos and it is available online following this link (AIP Publishing).
30.07.2020: Our paper Synchronization and multi-cluster capabilities of oscillatory networks with adaptive coupling (with Alexander Schaum and Thomas Meurer) has been accepted to the IEEE Transactions on Automatic Control and it is available online at IEEE Xplore Digital Library.
13.07.2020: Our paper Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency (with José L. Mancilla-Aguilar and Hernan Haimovich) is now published online in Nonlinear Analysis: Hybrid Systems. 50 Days of free access following this link.
24.06.2020: Our paper Synthesis, design, and synchronization analysis of coupled linear electrical networks (with Karlheinz Ochs, Dennis Michaelis, Enver Solan, Alexander Schaum, and Thomas Meurer) is now available online at IEEE Xplore Digital Library.
09.06.2020: Our papers Stability of cluster formations in adaptive Kuramoto networks (with Alexander Schaum and Thomas Meurer) and Robust nonlinear observer design based on impulsive dissipativity (with Alexander Schaum, Thomas Meurer, and Jaime A. Moreno) are now posted on arxiv, see arXiv:2006.00890 and arXiv:2006.03932.
12.03.2020: Our paper Impulsive observer design for a class of continuous biological reactors (with Alexander Schaum, Pascal Jerono, and Thomas Meurer) is now available online at IEEE Xplore Digital Library.
30.01.2020: Our paper Input-to-state stability of impulsive systems and their networks (with Sergey Dashkovskiy) has got an ESI Highly Cited Paper badge (in the top 1% of papers published in Mathematics in the same year).
09.12.2019: Our papers Synchronization and multi-cluster capabilities of oscillatory networks with adaptive coupling (with Alexander Schaum and Thomas Meurer) and Uniform stability of nonlinear time-varying impulsive systems with eventually uniformly bounded impulse frequency (with José L. Mancilla-Aguilar and Hernan Haimovich) are now posted on arxiv, see arXiv:1912.03922 and arXiv:1912.04343.