6 papers
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…
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.…