Multi-objective infinite horizon optimal control problems: characterization of the Pareto fronts and Pareto solutions
DOI10.1007/s40314-021-01633-0zbMath1476.49010OpenAlexW3203253899MaRDI QIDQ2052295
Publication date: 25 November 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01633-0
multi-objective programmingsemi-Lagrangian schemeinfinite horizon optimal control problemtrajectory reconstruction
Multi-objective and goal programming (90C29) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Value iteration convergence of \(\varepsilon\)-monotone schemes for stationary Hamilton-Jacobi equations
- On sufficient optimality conditions for multiobjective control problems
- Fast Pareto set generation for nonlinear optimal control problems with multiple objectives
- A numerical method for nonconvex multi-objective optimal control problems
- Optimization over the efficient set of multi-objective convex optimal control problems
- A generalization of mixed problems with an application to multiobjective optimal control
- Construction of optimal feedback controls
- Nonlinear multiobjective optimization
- Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations
- On generalized KT-pseudoinvex control problems involving multiple integral functionals
- Multiobjective control problem with generalized invexity
- Infinite horizon problems on stratifiable state-constraints sets
- A necessary and sufficient condition on the equivalence between local and global optimal solutions in variational control problems
- Set-Valued Return Function and Generalized Solutions for Multiobjective Optimal Control Problems (MOC)
- Infinite-Horizon Optimal Control in the Discrete-Time Framework
- Necessary conditions of Pareto optimality for multiobjective optimal control problems under constraints
- Necessary and Sufficient Conditions for Pareto Optimality in Infinite Horizon Cooperative Differential Games
- An Efficient Method for Multiobjective Optimal Control and Optimal Control Subject to Integral Constraints
- Vector Optimization
- Necessary Conditions for Multiobjective Optimal Control Problems with Free End-Time
- Necessary Conditions for Optimal Control Problems with Infinite Horizons
- Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints
- Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem
- Necessary Optimality Conditions in Multiobjective Dynamic Optimization
- KT‐pseudoinvex multidimensional control problem
- A New Formulation of State Constraint Problems for First-Order PDEs
- Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach
- Optimal Control with Budget Constraints and Resets
- Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: Multi-objective infinite horizon optimal control problems: characterization of the Pareto fronts and Pareto solutions
