Bilevel Optimal Control With Final-State-Dependent Finite-Dimensional Lower Level
From MaRDI portal
Publication:2796797
DOI10.1137/15M1015984zbMath1333.49008MaRDI QIDQ2796797
Francisco Benita, Patrick Mehlitz
Publication date: 30 March 2016
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
optimal controlnonsmooth optimizationcalmnessbilevel programmingPontryagin maximum principleoptimization in Banach spaces
Nonlinear programming (90C30) Programming in abstract spaces (90C48) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Related Items
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, Finding global solutions of some inverse optimal control problems using penalization and semismooth Newton methods, Solving inverse optimal control problems via value functions to global optimality, Optimality conditions for the simple convex bilevel programming problem in Banach spaces, Optimality Conditions for Special Semidefinite Bilevel Optimization Problems, 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 Problems with Pure State Constraints and Finite-dimensional Lower Level, Weak and strong stationarity in generalized bilevel programming and bilevel optimal control, Necessary Optimality Conditions for Optimal Control Problems with Equilibrium Constraints, 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
- Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints
- A bilevel optimization approach to obtain optimal cost functions for human arm movements
- On optimal control of a sweeping process coupled with an ordinary differential equation
- Is bilevel programming a special case of a mathematical program with complementarity constraints?
- Representation of the Lagrange multipliers for optimal control problems subject to differential-algebraic equations of index two
- Subgradients of marginal functions in parametric mathematical programming
- A natural gas cash-out problem: a bilevel programming framework and a penalty function method
- Notwendige Optimalitätsbedingungen und ihre Anwendung
- Regularity and stability for the mathematical programming problem in Banach spaces
- Foundations of bilevel programming
- The natural gas cash-out problem: a bilevel optimal control approach
- Optimal control of ODE systems involving a rate independent variational inequality
- The bilevel programming problem: reformulations, constraint qualifications and optimality conditions
- Lipschitz continuity of the optimal value function in parametric optimization
- A linearization approach to solve the natural gas cash-out bilevel problem
- An integral-type constraint qualification to guarantee nondegeneracy of the maximum principle for optimal control problems with state constraints
- Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level
- Existence of Optimal Controls for a Bi-Level Optimal Control Problem
- On calmness conditions in convex bilevel programming
- Optimization and nonsmooth analysis
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Optimal Strategies For Bilevel Dynamic Problems
- Optimality conditions for bilevel programming problems
- Semivectorial Bilevel Convex Optimal Control Problems: Existence Results
- Variational Stability and Marginal Functions via Generalized Differentiation
- New necessary optimality conditions in optimistic bilevel programming
- Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems
- Optimal control
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
