9 papers · 1 filter
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…
Omega-Limit Sets and Input-to-State Stability in Power Grids With Switching Equilibria
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…
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…
Hybrid Minimum-Seeking in Synergistic Lyapunov Functions: Robust Global Stabilization under Unknown Control Directions
Mahmoud Abdelgalil, Jorge I. Poveda
We study the problem of robust global stabilization in control-affine systems, focusing on dynamic uncertainties in the control directions \emph{and} the presence of topological ob…
Decentralized Concurrent Learning with Coordinated Momentum and Restart
Daniel E. Ochoa, Muhammad U. Javed, Xudong Chen +1
This paper studies the stability and convergence properties of a class of multi-agent concurrent learning (CL) algorithms with momentum and restart. Such algorithms can be integrat…
Initialization-Free Lie-Bracket Extremum Seeking in
Mahmoud Abdelgalil, Jorge Poveda
Stability results for extremum seeking control in have predominantly been restricted to local or, at best, semi-global practical stability. Extending semi-global sta…