6 citations · 13 across the 10 of their papers we have counts for
12 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…
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…
Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems
Rami Katz, Andrii Mironchenko
We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed thro…
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.…
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…