Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level
From MaRDI portal
Publication:2789613
DOI10.1137/141000889zbMath1339.49020OpenAlexW2326540814MaRDI QIDQ2789613
Patrick Mehlitz, Francisco Benita, Stephan Dempe
Publication date: 2 March 2016
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/ab63a5f46a982ab95df155a563e0cd3819f68a8b
Programming in abstract spaces (90C48) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items (11)
Analysis and Solution Methods for Bilevel Optimal Control Problems ⋮ Optimal Control Problems with Terminal Complementarity Constraints ⋮ The natural gas cash-out problem: a bilevel optimal control approach ⋮ Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. With applications to optimization with semidefinite and second-order-cone complementarity constraints ⋮ Bilevel Optimal Control With Final-State-Dependent Finite-Dimensional Lower Level ⋮ Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level ⋮ Weak and strong stationarity in generalized bilevel programming and bilevel optimal control ⋮ Bilevel Optimization and Variational Analysis ⋮ Bilevel Optimal Control: Existence Results and Stationarity Conditions ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography ⋮ A maximum principle for a time-optimal bilevel sweeping control problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational analysis of marginal functions with applications to bilevel programming
- A bilevel optimization approach to obtain optimal cost functions for human arm movements
- Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
- On the Karush-Kuhn-Tucker reformulation of the bilevel optimization problem
- Is bilevel programming a special case of a mathematical program with complementarity constraints?
- Convexity and concavity properties of the optimal value function in parametric nonlinear programming
- First order optimality conditions for generalized semi-infinite programming problems
- Subgradients of marginal functions in parametric mathematical programming
- A natural gas cash-out problem: a bilevel programming framework and a penalty function method
- Cone conditions and properties of Sobolev spaces
- Nondegenerate necessary conditions for nonconvex optimal control problems with state constraints
- Foundations of bilevel programming
- The natural gas cash-out problem: a bilevel optimal control approach
- Discrete bilevel programming: application to a natural gas cash-out problem
- Normal forms of necessary conditions for dynamic optimization problems with pathwise inequality constraints
- The bilevel programming problem: reformulations, constraint qualifications and optimality conditions
- Lipschitz continuity of the optimal value function in parametric optimization
- An integral-type constraint qualification to guarantee nondegeneracy of the maximum principle for optimal control problems with state constraints
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Bilevel Optimal Control With Final-State-Dependent Finite-Dimensional Lower Level
- On calmness conditions in convex bilevel programming
- New Necessary Optimality Conditions for Bilevel Programs by Combining the MPEC and Value Function Approaches
- Lipschitz Continuity for Constrained Processes
- Optimal Strategies For Bilevel Dynamic Problems
- Variational Analysis
- Lipschitz Continuity of Optimal Controls for State Constrained Problems
- Optimality conditions for bilevel programming problems
- A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
- Semivectorial Bilevel Convex Optimal Control Problems: Existence Results
- New necessary optimality conditions in optimistic bilevel programming
- Stackelburg solution for two-person games with biased information patterns
- Optimal control
This page was built for publication: Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level
