11 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…
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…
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-Lio…
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…