Cover Image

Generalisation of Farkas' lemma beyond closedness: a constructive approach via Fenchel-Rockafellar duality

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pouchol, Camille, Trélat, Emmanuel, Zhang, Christophe
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Approximate control of parabolic equations with on-off shape controls by Fenchel duality
by: Pouchol, Camille, et al.
Published: (2023)

Constructive reachability for linear control problems under conic constraints
by: Pouchol, Camille, et al.
Published: (2024)

Duality for Non Convex Composite Functions via the Fenchel Rockafellar Perturbation Framework
by: Latorre, Vittorio
Published: (2025)

Turnpike in optimal control and beyond: a survey
by: Trélat, Emmanuel, et al.
Published: (2025)

Stabilization of a Wave-Heat Cascade System
by: Lhachemi, Hugo, et al.
Published: (2026)

Controllability and Stabilization of a Wave-Heat Cascade System
by: Lhachemi, Hugo, et al.
Published: (2025)

Boundary output feedback stabilization of a cascade of N heat equations
by: Lhachemi, Hugo, et al.
Published: (2025)

Controllability of wave-heat and heat-wave cascades
by: Lhachemi, Hugo, et al.
Published: (2026)

Boundary control of heat-heat cascades
by: Lhachemi, Hugo, et al.
Published: (2025)

Polynomial Turnpike Property for a Class of Infinite-Dimensional Oscillating Systems
by: Zuyev, Alexander, et al.
Published: (2026)

The exponential turnpike property for periodic linear quadratic optimal control problems in infinite dimension
by: Trélat, Emmanuel, et al.
Published: (2024)

A meaningful optimal control problem in quantum and classical physics
by: Lazarus, Arnaud, et al.
Published: (2025)

A flatness proof of the exponential turnpike phenomenon for linear-quadratic optimal control problems
by: Fliess, Michel, et al.
Published: (2026)

Numerical solving of an optimal control problem in large time horizon: the aerial vehicle guidance
by: Askovic, Veljko, et al.
Published: (2025)

Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
by: Bauschke, Heinz H., et al.
Published: (2024)

Turnpike property of linear quadratic control problems with unbounded control operators
by: Nguyen, Hoai-Minh, et al.
Published: (2025)

Boundary observability for gas giant metrics
by: de Hoop, Maarten V., et al.
Published: (2026)

Hadamard-Lévy theorems for maps taking values in a finite dimensional space
by: Chitour, Yacine, et al.
Published: (2025)

Controlling the Rates of a Chain of Harmonic Oscillators with a Point Langevin Thermostat
by: Hannani, Amirali, et al.
Published: (2024)

Exponential Turnpike Theorems for Nonlinear Deterministic Meanfield Optimal Control Problems
by: Bonnet-Weill, Benoît, et al.
Published: (2026)

Large-time optimal observation domain for linear parabolic systems
by: Mazari-Fouquer, Idriss, et al.
Published: (2024)

Probabilistic algorithm for computing all local minimizers of Morse functions on a compact domain
by: Din, Mohab Safey El, et al.
Published: (2025)

Internal Control of The Transition Kernel for Stochastic Lattice Dynamics
by: Hannani, Amirali, et al.
Published: (2024)

Fenchel-Young Estimators of Perturbed Utility Models
by: Lin, Xi, et al.
Published: (2026)

Perturbed Fenchel Duality and Primal-Dual Convergence of First-Order Methods
by: Zhao, Tiantian
Published: (2024)

Nonlinear Fenchel Conjugates
by: Schiela, Anton, et al.
Published: (2024)

Delayed supermartingale convergence lemmas for stochastic approximation with Nesterov momentum
by: Ming-Kun, Zhang
Published: (2024)

Halpern Acceleration of the Inexact Proximal Point Method of Rockafellar
by: Zhang, Liwei, et al.
Published: (2025)

Data-driven $H_{\infty}$ predictive control for constrained systems: a Lagrange duality approach
by: Wu, Wenhuang, et al.
Published: (2024)

Fenchel Duality Theory and A Primal-Dual Algorithm on Riemannian Manifolds
by: Bergmann, Ronny, et al.
Published: (2019)

A Fenchel-Young Loss Approach to Data-Driven Inverse Optimization
by: Li, Zhehao, et al.
Published: (2025)

Counter-examples in first-order optimization: a constructive approach
by: Goujaud, Baptiste, et al.
Published: (2023)

Beyond the fundamental lemma: from finite time series to linear system
by: Camlibel, Kanat, et al.
Published: (2024)

A Best-of-Both-Worlds Proof for Tsallis-INF without Fenchel Conjugates
by: Lee, Wei-Cheng, et al.
Published: (2025)

Projection onto hyperbolicity cones and beyond: a dual Frank-Wolfe approach
by: Nagano, Takayuki, et al.
Published: (2024)

A new perspective on Willems' fundamental lemma: Universality of persistently exciting inputs
by: Shakouri, Amir, et al.
Published: (2025)

A continuous-time fundamental lemma and its application in data-driven optimal control
by: Schmitz, Philipp, et al.
Published: (2024)

Primal and Dual Characterizations for Farkas type Lemmas in Terms of Closedness Criteria
by: Dinh, Nguyen, et al.
Published: (2025)

A constructive approach to strengthen algebraic descriptions of function and operator classes
by: Rubbens, Anne, et al.
Published: (2025)

Newton methods beyond Hessian Lipschitz continuity: A nonlinear preconditioning approach
by: Bodard, Alexander, et al.
Published: (2026)