15 citations · 31 across the 13 of their papers we have counts for
17 papers
On the Stability of Power Systems with AI Data Centers: A Multi-Equilibrium Switched DAE Framework
Vishal Shenoy, Damola Ajeyemi, Mahmoud Abdelgalil +3
The rapid growth of Artificial Intelligence (AI) data centers is introducing dynamic loads into power transmission systems as GPU clusters switch between computational phases with…
The Deceptive Bandit Problem: Exploratory Coupling and the Fragility of Multi-Agent Learning
Michael Tang, Mahmoud Abdelgalil, Jorge I. Poveda
Randomized exploration is central to bandit learning, multi-agent reinforcement learning, and zeroth-order policy search, yet its independence and privacy are usually only treated…
Stochastic Lie-Bracket Approximations for Zeroth-Order Optimization on Manifolds
Mahmoud Abdelgalil, Miroslav Krstic, Jorge I. Poveda
We propose a continuous-time algorithm for zeroth-order global optimization of smooth functions on compact manifolds that synthesizes Riemannian gradient dynamics using only object…
Non-Holonomic Gradient Play: Leafwise Nash Equilibria, Stability, and Deception
Mahmoud Abdelgalil, Miroslav Krstic, Jorge I. Poveda
We study generalized learning dynamics in multi-agent systems whose joint state evolves on a manifold and whose agents act through state-dependent, potentially nonholonomic vector…
A Ballantine-Type Factorization of Diffeomorphisms
Mahmoud Abdelgalil, Tryphon T. Georgiou
We show that on a compact, connected, Riemannian manifold without boundary, every isotopic to the identity diffeomorphism can be written as a finite composition of optimal mass tra…
The Holonomy of Optimal Mass Transport: The Smooth Case
Mahmoud Abdelgalil, Tryphon T. Georgiou
We prove that, on a smooth manifold equipped with a constant rank horizontal distribution and a smooth inner product on , any horizontal vector field can be writte…
On the Isospectral Nature of Minimum-Shear Covariance Control
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit Brockett's attention in the context of bilinear gradient flow of an ensemble, and explore an alternative formalism that aims to reduce shear by minimizing the conditioni…
Minimizing Control Attention:The Linear Gauss-Markov paradigm
Ralph Sabbagh, Asmaa Eldesoukey, Mahmoud Abdelgalil +1
We revisit the concept of `attention' as a technical term to quantify the effort in calibrating control action based on available data. While Wiener, in his work on Cybernetics, an…
The factorization of matrices into products of positive definite factors
Mahmoud Abdelgalil, Tryphon T. Georgiou
Positive-definite matrices materialize as state transition matrices of linear time-invariant gradient flows, and the composition of such materializes as the state transition after…
Collective steering: Tracer-informed dynamics
Asmaa Eldesoukey, Mahmoud Abdelgalil, Tryphon T. Georgiou
We consider control and inference problems where control protocols and internal dynamics are informed by two types of constraints. Our data consist of i) statistics on the ensemble…
Collective steering in finite time: controllability on
Mahmoud Abdelgalil, Tryphon T. Georgiou
We consider the problem of steering a collection of n particles that obey identical n-dimensional linear dynamics via a common state feedback law towards a rearrangement of their p…
The Holonomy of Optimal Mass Transport: The Gaussian-Linear Case
Mahmoud Abdelgalil, Tryphon T. Georgiou
The theory of Monge-Kantorovich Optimal Mass Transport (OMT) has in recent years spurred a fast developing phase of research in stochastic control, control of ensemble systems, the…
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…
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…
On Lie-Bracket Averaging for a Class of Hybrid Dynamical Systems with Applications to Model-Free Control and Optimization
Mahmoud Abdelgalil, Jorge I. Poveda
The stability of dynamical systems with oscillatory behaviors and well-defined average vector fields has traditionally been studied using averaging theory. These tools have also be…
Sea urchin sperm exploit extremum seeking control to find the egg
Mahmoud Abdelgalil, Yasser Aboelkassem, Haithem Taha
Sperm cells perform extremely demanding tasks with minimal capabilities. The cells must quickly navigate in a noisy environment to find an egg within a short time window for succes…
Lie Bracket Approximation-Based Extremum Seeking with Vanishing Input Oscillations
Mahmoud Abdelgalil, Haithem Taha
In recent years, an approach to extremum seeking control made it possible to design control vector fields that lead to asymptotic stability of the minimum point provided that the m…