Speaker: Agnieszka B. Malinowska,  Faculty of Computer Science, Bialystok University of Technology, Poland

Time : 15:00 - 16:00 CET (Rome/Paris)

Hosted at: SISSA, International School of Advanced Studies, Trieste, Italy

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Organizers : Pavan Pranjivan Mehta* (pavan.mehta@sissa.it) and Arran Fernandez** (arran.fernandez@emu.edu.tr)

* SISSA, International School of Advanced Studies, Italy

** Eastern Mediterranean University, Northern Cyprus

Keywords: Switched systems, Fractional operators, Stability

Abstract: This talk presents recent advances in the stability analysis of memory-dependent switched and multi-agent systems described by fractional-order models. The considered dynamics are governed by the Caputo derivative with respect to another function and by linear fractional difference equations, enabling the modeling of memory effects that are absent in classical integer-order systems. We first establish necessary and sufficient conditions for the positivity of fractional linear systems and derive a sufficient condition for the asymptotic stability of positive linear fractional switched systems under arbitrary switching. We then introduce a practical stability framework for switched fractional difference systems with fixed memory, employing the concepts of average dwell time and chatter bound to characterize admissible switching signals and guarantee global exponential stability. Finally, these theoretical results are applied to investigate the asymptotic stability of memory-dependent multi-agent systems operating under Denial-of-Service attacks. The proposed framework extends existing stability analysis techniques for fractional switched systems and provides new tools for the analysis and design of resilient networked control systems. Numerical simulations and comparative studies demonstrate the effectiveness and practical relevance of the proposed methods. The presentation is based on the results reported in [1, 2]

Biography: Agnieszka B. Malinowska is a Professor in the Faculty of Computer Science at Bialystok University of Technology, Poland. Her research interests include fractional calculus, fractional-order systems, and time scale theory, with a particular focus on their theoretical development and applications in dynamical systems and control. More information about her research and publications is available on Google Scholar and ResearchGate

Bibliography

[1] R. Almeida, E. Girejko, L. Machado, A. B. Malinowska, N. Martins, On the stability of memory-dependent multi-agent systems under DoS attacks, Journal of the Franklin Institute, 362, 1 (2025), Article: 107402.
[2] R. Almeida, E. Girejko, L. Machado, A. Malinowska, N. Martins, A. Ruszewski, On global exponential stability of a switched system governed by linear fractional difference equations, Nonlinear Analysis: Hybrid Systems, 61, (2026), pp. 1–16.