Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC)

DOI10.1137/110848323zbMath1273.49022arXiv1110.1352OpenAlexW1964922052MaRDI QIDQ2848592

Alexis Guigue

Publication date: 26 September 2013

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1352

zbMATH Keywords

set-valued mapsdynamic programmingcontingent derivativecoderivativemultiobjective optimal controlgeneralized Pareto optimality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Dynamic programming in optimal control and differential games (49L20) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Characteristic curves for set-valued Hamilton-Jacobi equations ⋮ The value functions approach and Hopf-Lax formula for multiobjective costs via set optimization ⋮ Multi-objective infinite horizon optimal control problems: characterization of the Pareto fronts and Pareto solutions ⋮ Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach

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