4 citations · 10 across the 8 of their papers we have counts for
8 papers
Subspace Pruning via Principal Vectors for Accurate Koopman-Based Approximations
Dhruv Shah, Jorge Cortés
The accuracy of Koopman operator approximations over finite-dimensional spaces relies critically on their invariance properties. These can be rigorously quantified via the principa…
Feasibility Analysis and Regularity Characterization of Distributionally Robust Safe Stabilizing Controllers
Pol Mestres, Kehan Long, Nikolay Atanasov +1
This paper studies the well-posedness and regularity of safe stabilizing optimization-based controllers for control-affine systems in the presence of model uncertainty. When the sy…
Regularity Properties of Optimization-Based Controllers
Pol Mestres, Ahmed Allibhoy, Jorge Cortés
This paper studies regularity properties of optimization-based controllers, which are obtained by solving optimization problems where the parameter is the system state and the opti…
Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models
Masih Haseli, Jorge Cortés
A popular way to approximate the Koopman operator's action on a finite-dimensional subspace of functions is via orthogonal projections. The quality of the projected model directly…
Anytime Solvers for Variational Inequalities: the (Recursive) Safe Monotone Flows
Ahmed Allibhoy, Jorge Cortés
This paper synthesizes anytime algorithms, in the form of continuous-time dynamical systems, to solve monotone variational inequalities. We introduce three algorithms that solve th…
Distributed and Anytime Algorithm for Network Optimization Problems with Separable Structure
Pol Mestres, Jorge Cortés
This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feas…
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning
Miguel Vaquero, Jorge Cortés, David Martín de Diego
This work presents a general geometric framework for simulating and learning the dynamics of Hamiltonian systems that are invariant under a Lie group of transformations. This means…
Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity
Masih Haseli, Jorge Cortés
This paper introduces the Koopman Control Family (KCF), a mathematical framework for modeling general (not necessarily control-affine) discrete-time nonlinear control systems with…