Two-sided space-time \(L^1\) polynomial approximation of hypographs within polynomial optimal control
DOI10.1007/s00245-018-9501-1zbMath1444.49009OpenAlexW2804523964WikidataQ128145566 ScholiaQ128145566MaRDI QIDQ781560
Emmanuel Trélat, Bruno Després
Publication date: 17 July 2020
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-018-9501-1
polynomial approximationhypographtwo-sided optimization\(L^1\) optimizationpolynomial optimal control
Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for problems involving ordinary differential equations (49K15)
Uses Software
Cites Work
- A Modeling Language for Mathematical Programming
- A mathematical introduction to compressive sensing
- Multi-resolution analysis of Wiener-type uncertainty propagation schemes
- Using \(K\)-branch entropy solutions for multivalued geometric optics computations
- Enhancing \(\ell_1\)-minimization estimates of polynomial chaos expansions using basis selection
- Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension \(N+1\)
- A kinetic equation with kinetic entropy functions for scalar conservation laws
- \(L^{2}\) formulation of multidimensional scalar conservation laws
- Relative rearrangement. An estimation tool for boundary problems
- Semianalytic and subanalytic sets
- A kinetic formulation for multi-branch entropy solutions of scalar conservation laws
- Some properties of the value function and its level sets for affine control systems with quadratic cost
- Polynomials with bounds and numerical approximation
- Morse-Sard type results in sub-Riemannian geometry
- Optimal control and applications to aerospace: some results and challenges
- The Lasso problem and uniqueness
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- On polynomials of best one sided approximation
- Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws
- Surface Reconstruction via L 1-Minimization
- Optimization and nonsmooth analysis
- Polar factorization and monotone rearrangement of vector‐valued functions
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- Polynomials that are positive on an interval
- Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations
- Orbits of L 1 -Functions Under Doubly Stochastic Transformation
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