Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems
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Publication:5746432
DOI10.1007/978-1-4614-7621-4_4zbMath1283.49042OpenAlexW2149106743MaRDI QIDQ5746432
Jacqueline Morgan, Henri Bonnel
Publication date: 18 February 2014
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: http://www.csef.it/WP/wp301.pdf
differential gamesoptimality conditionsmultiobjective optimizationStackelberg problemsemivectorial bilevel optimizationpessimistic bilevel problemoptimistic bilevel problemPareto (efficient) control set
Convex programming (90C25) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Programming in abstract spaces (90C48) Linear-quadratic optimal control problems (49N10)
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Cites Work
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- Optimization over the efficient set: overview
- Optimization over the efficient set of multi-objective convex optimal control problems
- Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: explicit optimality conditions
- Minimization of a quasi-concave function over an efficient set
- Stackelberg differential games in economic models
- Multiobjective bilevel optimization
- An exact penalty on bilevel programs with linear vector optimization lower level
- Sequential Stackelberg equilibria in two-person games
- A theoretical approximation scheme for Stackelberg problems
- A finite, nonadjacent extreme-point search algorithm for optimization over the efficient set
- Necessary conditions for nonlinear suboptimization over the weakly- efficient set
- Stability of regularized bilevel programming problems
- Matrix Riccati equations in control and systems theory
- Foundations of bilevel programming
- Maximizing a concave function over the efficient or weakly-efficient set
- New optimality conditions for the semivectorial bilevel optimization problem
- A solution method for semivectorial bilevel programming problem via penalty method
- Optimality conditions for minimization over the (weakly or properly) efficient set
- Semivectorial bilevel optimization problem: penalty approach
- On optimization over the efficient set in linear multicriteria programming
- An overview of bilevel optimization
- Proper efficiency and the theory of vector maximization
- On the Stackelberg strategy in nonzero-sum games
- Optimization over the efficient set using an active constraint approach
- Introduction to the Theory of Nonlinear Optimization
- Proper Efficient Points for Maximizations with Respect to Cones
- Pénalisation dans l'optimisation sur l'ensemble faiblement efficient
- New results on approximate solution in two-level optimization
- Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
- Algorithms for the vector maximization problem
- Semivectorial Bilevel Convex Optimal Control Problems: Existence Results
- Stackelburg solution for two-person games with biased information patterns
- Optimization over the efficient set
- Optimization over the efficient set
