7 papers
On Composite Foster Functions for a Class of Singularly Perturbed Stochastic Hybrid Inclusions
Jorge I. Poveda, Mahmoud Abdelgalil
We study sufficient conditions for stability and recurrence in a class of singularly perturbed stochastic hybrid dynamical systems. The systems considered combine multi-time-scale…
On Event-Triggered Extremum Seeking via Standard and Lie-Bracket Averaging: A Hybrid Dynamical Systems Approach
Mahmoud Abdelgalil, Jorge I. Poveda
We introduce and analyze the stability of a class of event-triggered extremum-seeking algorithms designed to solve resource-aware, model-free, optimization problems. Leveraging rec…
On the Instability of Nesterov's ODE under Non-Conservative Vector Fields
Daniel E. Ochoa, Mahmoud Abdelgalil, Jorge I. Poveda
We study the instability properties of Nesterov's ODE in non-conservative settings, where the driving term is not necessarily the gradient of a potential function. While convergenc…
Control of Power Grids With Switching Equilibria: -Limit Sets and Input-to-State Stability
Mahmoud Abdelgalil, Vishal Shenoy, Guido Cavraro +2
This paper studies a power transmission system with both conventional generators (CGs) and distributed energy assets (DEAs) providing frequency control. We consider an operating co…
On Persistently Resetting Learning Integrators: A Framework For Model-Free Feedback Optimization
Mahmoud Abdelgalil, Jorge I. Poveda
We study a novel class of algorithms for solving model-free feedback optimization problems in dynamical systems. The key novelty is the introduction of \emph{persistent resetting l…
Prescribed-Time and Hyperexponential Concurrent Learning with Partially Corrupted Datasets: A Hybrid Dynamical Systems Approach
Daniel E. Ochoa, Jorge I. Poveda
We introduce a class of concurrent learning (CL) algorithms designed to solve parameter estimation problems with convergence rates ranging from hyperexponential to prescribed-time…