Ensemble approximations for constrained dynamical systems using Liouville equation

DOI10.1016/j.automatica.2022.110836OpenAlexW4313681758MaRDI QIDQ2681374

Didier Henrion, Marianne Souaiby, Aneel Tanwani

Publication date: 3 February 2023

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2022.110836

zbMATH Keywords

regularizationcontinuity equationconstrained systemsevolution of measuresmoment approximationsupport reconstruction

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Uses Software

• GloptiPoly

Cites Work

• Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme
• Continuous selections. I
• Optimal control of the sweeping process over polyhedral controlled sets
• Ordinary differential equations, transport theory and Sobolev spaces
• Multivalued stochastic differential equations: Convergence of a numerical scheme
• Yosida-Moreau regularization of sweeping processes with unbounded variation
• The empirical Christoffel function with applications in data analysis
• Convergence of proximal solutions for evolution inclusions with time-dependent maximal monotone operators
• Differential inclusions in Wasserstein spaces: the Cauchy-Lipschitz framework
• Optimization and discrete approximation of sweeping processes with controlled moving sets and perturbations
• A theoretical investigation of Brockett's ensemble optimal control problems
• BV solutions of nonconvex sweeping process differential inclusion with perturbation
• GloptiPoly 3: moments, optimization and semidefinite programming
• One-dimensional transport equations with discontinuous coefficients
• Variational Analysis
• Cone-Copositive Lyapunov Functions for Complementarity Systems: Converse Result and Polynomial Approximation
• Quadratic Optimal Control of Linear Complementarity Systems: First-Order Necessary Conditions and Numerical Analysis
• Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability
• Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
• Set-valued analysis
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