Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map
DOI10.1016/j.cam.2022.114662zbMath1498.49042OpenAlexW4291733879WikidataQ114015987 ScholiaQ114015987MaRDI QIDQ2088808
Publication date: 6 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114662
Fréchet normal coneFréchet subdifferentialFréchet subgradientsnonlinear state equationsfrontier mapparametric multiobjective discrete-time control
Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Fréchet and Gateaux differentiability in optimization (49J50) Discrete-time control/observation systems (93C55) Perturbations in control/observation systems (93C73) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order necessary optimality conditions for a discrete optimal control problem with mixed constraints
- Normal subdifferentials of efficient point multifunctions in parametric vector optimization
- Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization
- Clarke coderivatives of efficient point multifunctions in parametric vector optimization
- A generalization of mixed problems with an application to multiobjective optimal control
- Generalized Clarke epiderivatives of parametric vector optimization problems
- Mordukhovich subgradients of the value function to a parametric discrete optimal control problem
- Codifferential calculus
- Subgradients of marginal functions in parametric mathematical programming
- Subgradients of the optimal value function in a parametric discrete optimal control problem
- Coderivatives of frontier and solution maps in parametric multiobjective optimization
- Sensitivity analysis in multiobjective optimization
- International pollution control: Cooperative versus noncooperative strategies
- Sensitivity analysis in convex vector optimization
- Sensitivity analysis in vector optimization
- Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems
- Second-order KKT optimality conditions for multiobjective discrete optimal control problems
- On the no-gap second-order optimality conditions for a discrete optimal control problem with mixed constraints
- On sensitivity analysis in vector optimization
- Techniques of variational analysis
- Subgradients of value functions in parametric dynamic programming
- Hamilton-Jacobi theory and parametric analysis in fully convex problems of optimal control
- Infinite-Horizon Optimal Control in the Discrete-Time Framework
- Necessary conditions of Pareto optimality for multiobjective optimal control problems under constraints
- Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
- Stability and Sensitivity Analysis in Convex Vector Optimization
- Differentiability Properties of Optimal Value Functions
- Set-valued Optimization
This page was built for publication: Sensitivity analysis in parametric multiobjective discrete-time control via Fréchet subdifferential calculus of the frontier map