4 citations · 19 across the 20 of their papers we have counts for
29 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…
Fixed-Time ISS for Interconnected Discrete-Time Systems, Part II: Finite-Horizon Lyapunov Functions
Sumadhu Rubaiyat, Jorge I. Poveda
We study fixed-time input-to-state stability (FxT-ISS) for discrete-time systems subject to exogenous inputs using finite-horizon Lyapunov functions. In the proposed Lyapunov- base…
Fixed-Time ISS for Interconnected Discrete-Time Systems, Part I: Extinction-Based Lyapunov Functions
Sumadhu Rubaiyat, Jorge I. Poveda
We study fixed-time input-to-state stability (FxT-ISS) for discrete-time systems subject to exogenous inputs. We introduce Lyapunov-based sufficient conditions for FxT- ISS based o…
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…
Hybrid Set-Seeking Systems: Model-Free Feedback Optimization via Hybrid Inclusions
Jorge I. Poveda, Andrew R. Teel
This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate…
Prescribed-Time Control in Switching Systems with Resets: A Hybrid Dynamical Systems Approach
Daniel E. Ochoa, Nicolas Espitia, Jorge I. Poveda
We consider the problem of achieving prescribed-time stability (PT-S) in a class of hybrid dynamical systems that incorporate switching nonlinear dynamics, exogenous inputs, and re…
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…
Continuous-Time Zeroth-Order Dynamics with Projection Maps: Model-Free Feedback Optimization with Safety Guarantees
Xin Chen, Jorge I. Poveda, Na Li
This paper introduces a class of model-free feedback methods for solving generic constrained optimization problems where the specific mathematical forms of the objective and constr…
Model-Free Optimization on Smooth Compact Manifolds: Overcoming Topological Obstructions using Zeroth-Order Hybrid Dynamics
Daniel E. Ochoa, Jorge I. Poveda
Smooth autonomous dynamical systems modeled by ordinary differential equations (ODEs) cannot robustly and globally stabilize a point in compact, boundaryless manifolds. This obstru…
Data-Assisted Vision-Based Hybrid Control for Robust Stabilization with Obstacle Avoidance via Learning of Perception Maps
Alejandro Murillo-Gonzalez, Jorge I. Poveda
We study the problem of target stabilization with robust obstacle avoidance in robots and vehicles that have access only to vision-based sensors for the purpose of realtime localiz…
Model-Free Feedback Constrained Optimization Via Projected Primal-Dual Zeroth-Order Dynamics
Xin Chen, Jorge I. Poveda, Na Li
In this paper, we propose a model-free feedback solution method to solve generic constrained optimization problems, without knowing the specific formulations of the objective and c…
Accelerated Continuous-Time Approximate Dynamic Programming via Data-Assisted Hybrid Control
Daniel E. Ochoa, Jorge I. Poveda
We introduce a new closed-loop architecture for the online solution of approximate optimal control problems in the context of continuous-time systems. Specifically, we introduce th…
High-Performance Optimal Incentive-Seeking in Transactive Control for Traffic Congestion
Daniel E. Ochoa, Jorge I. Poveda
Traffic congestion has dire economic and social impacts in modern metropolitan areas. To address this problem, in this paper we introduce a novel type of model-free transactive con…
A Stochastic Binary Vertex-Triggering Resetting Algorithm for Global Synchronization of Pulse-Coupled Oscillators
Muhammad U. Javed, Jorge I. Poveda, Xudong Chen
In this paper, we propose a novel stochastic binary resetting algorithm for networks of pulse-coupled oscillators (or, simply, agents) to reach global synchronization. The algorith…
Momentum-Based Nash Set Seeking over Networks via Multi-Time Scale Hybrid Dynamic Inclusions
Daniel E. Ochoa, Jorge I. Poveda
Multi-time scale techniques, such as singular perturbations and averaging theory, have played an essential role in the development of distributed Nash equilibrium-seeking algorithm…
Planning a Return to Normal after the COVID-19 Pandemic: Identifying Safe Contact Levels via Online Optimization
Gianluca Bianchin, Emiliano Dall'Anese, Jorge I. Poveda +3
Since the early months of 2020, non-pharmaceutical interventions (NPIs) -- implemented at varying levels of severity and based on widely-divergent perspectives of risk tolerance --…
Model-Free Optimal Voltage Control via Continuous-Time Zeroth-Order Methods
Xin Chen, Jorge I. Poveda, Na Li
In power distribution systems, the growing penetration of renewable energy resources brings new challenges to maintaining voltage safety, which is further complicated by the limite…
Online Optimization of LTI Systems Under Persistent Attacks: Stability, Tracking, and Robustness
Felipe Galarza-Jimenez, Gianluca Bianchin, Jorge I. Poveda +1
We study the stability properties of a control system composed of a dynamical plant and a feedback controller, the latter generating control signals that can be compromised by a ma…
Time-Varying Optimization of LTI Systems via Projected Primal-Dual Gradient Flows
Gianluca Bianchin, Jorge Cortes, Jorge I. Poveda +1
This paper investigates the problem of regulating in real time a linear dynamical system to the solution trajectory of a time-varying constrained convex optimization problem. The p…
Fixed-Time Nash Equilibrium Seeking in Non-Cooperative Games
Jorge I. Poveda, Miroslav Krstic, Tamer Basar
We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded…
Fixed-Time Newton-Like Extremum Seeking
Jorge I. Poveda, Miroslav Krstic
In this paper, we present a novel Newton-based extremum seeking controller for the solution of multivariable model-free optimization problems in static maps. Unlike existing asympt…
Online Optimization of Switched LTI Systems Using Continuous-Time and Hybrid Accelerated Gradient Flows
Gianluca Bianchin, Jorge I. Poveda, Emiliano Dall'Anese
This paper studies the design of feedback controllers to steer a switching linear time-invariant dynamical system towards the solution trajectory of a time-varying convex optimizat…