Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations
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Publication:6621506
DOI10.1051/cocv/2024053MaRDI QIDQ6621506
Milan Korda, Nicolas Augier, Didier Henrion, Victor Magron
Publication date: 18 October 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations (Search for Journal in Brave)
Numerical methods based on nonlinear programming (49M37) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20) Computational methods for problems pertaining to systems and control theory (93-08)
Cites Work
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- Lifting differentiable curves from orbit spaces
- Scaling invariants and symmetry reduction of dynamical systems
- Relaxation of optimal control problems to equivalent convex programs
- Extremal points and optimal control theory
- Gröbner bases, invariant theory and equivariant dynamics
- Computer algebra methods for equivariant dynamical systems
- Sobolev lifting over invariants
- Semi-algebraic approximation using Christoffel-Darboux kernel
- Convergence of Lasserre's hierarchy: the general case
- Graph recovery from incomplete moment information
- Symmetry-based solution of a model for a combination of a risky investment and a riskless investment
- A generic property of families of Lagrangian systems
- Symmetries and analytical solutions of the Hamilton–Jacobi–Bellman equation for a class of optimal control problems
- GloptiPoly 3: moments, optimization and semidefinite programming
- Time minimal trajectories for a spin 1∕2 particle in a magnetic field
- Generalized Curves and Extremal Points
- The Equivalence of Strong and Weak Formulations for Certain Problems in Optimal Control
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
- Rigid patterns of synchrony for equilibria and periodic cycles in network dynamics
- Detecting Global Optimality and Extracting Solutions in GloptiPoly
- Convex Duality and Nonlinear Optimal Control
- Symmetry Reduction of Optimal Control Systems and Principal Connections
- The truncated complex $K$-moment problem
- Finding Extremal Periodic Orbits with Polynomial Optimization, with Application to a Nine-Mode Model of Shear Flow
- Pre- and Post-Processing Sum-of-Squares Programs in Practice
- Sparse Polynomial Optimization
- Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization
- Symmetry Reductions of a Hamilton-Jacobi-Bellman Equation Arising in Financial Mathematics
- Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
- Exploiting Term Sparsity in Moment-SOS Hierarchy for Dynamical Systems
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