6 citations · 21 across the 14 of their papers we have counts for
16 papers
Sakawa-Shindo algorithm for optimal control of time-delay systems, with applications to epidemiology
Rami Katz, Francesca Calà Campana, Giulia Giordano
We extend the Sakawa-Shindo algorithm to solve optimal control problems where the system dynamics involve an arbitrary number of discrete state delays. We prove that the algorithm…
gPC-based robustness analysis of neural systems through probabilistic recurrence metrics
Uros Sutulovic, Daniele Proverbio, Rami Katz +1
Neuronal systems often preserve their characteristic functions and signalling patterns, also referred to as regimes, despite parametric uncertainties and variations. For neural mod…
Separation-free exponential fitting with structured noise, with applications to inverse problems in parabolic PDEs
Rami Katz, Dmitry Batenkov, Giulia Giordano
We investigate the recovery of exponents and amplitudes of an exponential sum, where the exponents are the first eigenvalues of a Sturm-Liou…
Robustness and resilience of dynamical networks in biology and epidemiology
Daniele Proverbio, Rami Katz, Giulia Giordano
Natural systems are remarkably robust and resilient, maintaining essential functions despite variability, uncertainty, and hostile conditions. Understanding these nonlinear, dynami…
Observer-Based Sampled-Data Stabilisation of Switched Systems with Lipschitz Nonlinearities and Dwell-Time
Rami Katz, Antonio Russo, Gian Paolo Incremona +2
We investigate the stabilisation of nominally linear-affine switched systems with uncertain Lipschitz nonlinearities under dwell-time constraints, using a sampled-data switching la…
Efficient and faithful reconstruction of dynamical attractors using homogeneous differentiators
Uros Sutulovic, Daniele Proverbio, Rami Katz +1
Reconstructing the attractors of complex nonlinear dynamical systems from available measurements is key to analyse and predict their time evolution. Existing attractor reconstructi…
Threshold sensing yields optimal path formation in Physarum polycephalum
Daniele Proverbio, Giulia Giordano
The model organism Physarum polycephalum is known to perform decentralised problem solving despite absence of nervous system. Experimental evidence and modelling studies have linke…
Recent trends in socio-epidemic modelling: behaviours and their determinants
Daniele Proverbio, Riccardo Tessarin, Giulia Giordano
The spreading dynamics of infectious diseases is influenced by individual behaviours, which are in turn affected by the level of awareness about the epidemic. Modelling the co-evol…
Failure and Success in Single-Drug Control of Antimicrobial Resistance
Alejandro Anderson, Rami Katz, Francesca Calà Campana +1
We propose a mathematical model of Antimicrobial Resistance in the host to predict the failure of two antagonists of bacterial growth: the immune response and a single-antibiotic t…
Resilience of the positive gene autoregulation loop
Daniele Proverbio, Giulia Giordano
Gene expression in response to stimuli is regulated by transcription factors (TFs) through feedback loop motifs, aimed at maintaining the desired TF concentration despite uncertain…
Instability of equilibrium and convergence to periodic orbits in strongly 2-cooperative systems
Rami Katz, Giulia Giordano, Michael Margaliot
We consider time-invariant nonlinear -dimensional strongly -cooperative systems, that is, systems that map the set of vectors with up to weak sign variation to its interior.…
Bottom-up robust modeling for the foraging behavior of Physarum polycephalum
Damiano Reginato, Daniele Proverbio, Giulia Giordano
The true slime mold \textit{Physarum polycephalum} has the remarkable capability to perform self-organized activities such as network formation among food sources. Despite well rep…
Data informed epidemiological-behavioural modelling
Daniele Proverbio, Riccardo Tessarin, Giulia Giordano
Augmenting classical epidemiological models with information from the social sciences helps unveil the interplay between contagion dynamics and social responses. However, multidisc…
Convergence to periodic orbits in 3-dimensional strongly 2-cooperative systems
Rami Katz, Giulia Giordano, Michael Margaliot
The flow of a -cooperative system maps the set of vectors with up to~ sign variations to itself. Strongly -cooperative systems satisfy a strong \Poincare-Bendixson pro…
Efficient gPC-based quantification of probabilistic robustness for systems in neuroscience
Uros Sutulovic, Daniele Proverbio, Rami Katz +1
Robustness analysis is very important in biology and neuroscience, to unravel behavioural patterns of systems that are conserved despite large parametric uncertainties. To make stu…
Data-driven identification of reaction-diffusion dynamics from finitely many non-local noisy measurements by exponential fitting
Rami Katz, Giulia Giordano, Dmitry Batenkov
Given a reaction-diffusion equation with unknown right-hand side, we consider a nonlinear inverse problem of estimating the associated leading eigenvalues and initial condition mod…