A maximum principle for a time-optimal bilevel sweeping control problem
From MaRDI portal
Publication:2116617
DOI10.1007/s10957-022-02004-3zbMath1484.49044arXiv2109.08457OpenAlexW3201532962MaRDI QIDQ2116617
Nathalie T. Khalil, Fernando Lobo Pereira
Publication date: 18 March 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08457
optimal control theoryexact penalizationbilevel optimizationstate constraintsweeping processcontrol of constrained systems
Nonsmooth analysis (49J52) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions (49K99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints
- Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
- A numerical scheme for a class of sweeping processes
- The maximum principle for optimal control problems with state constraints by R.V. Gamkrelidze: Revisited
- State constraints in optimal control. The degeneracy phenomenon
- Optimal control of a perturbed sweeping process via discrete approximations
- Regularization of nonconvex sweeping process in Hilbert space
- Sweeping process with regular and nonregular sets.
- Optimal control of a nonconvex perturbed sweeping process
- On a few questions regarding the study of state-constrained problems in optimal control
- Extended Euler-Lagrange and Hamiltonian conditions in optimal control of sweeping processes with controlled moving sets
- On the variational principle
- Optimal control of ODE systems involving a rate independent variational inequality
- Numerical aspects of the sweeping process
- A nonsmooth maximum principle for a controlled nonconvex sweeping process
- Regular path-constrained time-optimal control problems in three-dimensional flow fields
- A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle
- Optimal control involving sweeping processes
- A mathematical framework for a crowd motion model
- A maximum principle for the controlled sweeping process
- Relaxation of an optimal control problem involving a perturbed sweeping process
- Bilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower Level
- Bilevel Optimal Control With Final-State-Dependent Finite-Dimensional Lower Level
- The Minimum Time Function for the Controlled Moreau's Sweeping Process
- On calmness conditions in convex bilevel programming
- Subgradient Criteria for Monotonicity, The Lipschitz Condition, and Convexity
- Optimal Strategies For Bilevel Dynamic Problems
- Local differentiability of distance functions
- Optimality conditions for bilevel programming problems
- Non-autonomous higher-order Moreau's sweeping process: Well-posedness, stability and Zeno trajectories
- Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls
- Necessary optimality conditions in pessimistic bilevel programming
- New necessary optimality conditions in optimistic bilevel programming
- Extremum problems in the presence of restrictions
- Optimal control