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math.OC2023★ 1 cited
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…
math.OC2023★ 2 cited
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…
math.OC2023★ 2 cited
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…