Lipschitz continuity of the value function in mixed-integer optimal control problems
From MaRDI portal
Publication:525051
DOI10.1007/s00498-016-0183-4zbMath1439.49047arXiv1612.04639OpenAlexW2565744376WikidataQ56527291 ScholiaQ56527291MaRDI QIDQ525051
Publication date: 28 April 2017
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.04639
sensitivityparametric optimizationLipschitz continuityoptimal value functionparametric optimal controlmixed-integer optimal control problemsparametric switching control
Related Items (5)
Time-domain decomposition for mixed-integer optimal control problems ⋮ Numerical solution of two-dimensional variable-order fractional optimal control problem by generalized polynomial basis ⋮ A viscosity solution approach to regularity properties of the optimal value function ⋮ Penalty alternating direction methods for mixed-integer optimal control with combinatorial constraints ⋮ Mixed-Integer Optimal Control for PDEs: Relaxation via Differential Inclusions and Applications to Gas Network Optimization
Cites Work
- Optimal switching for hybrid semilinear evolutions
- Relaxation methods for mixed-integer optimal control of partial differential equations
- Switching control
- Representation and control of infinite dimensional systems. Volume I
- Subgradients of marginal functions in parametric mathematical programming
- Optimal control of switched distributed parameter systems with spatially scheduled actuators
- Semigroups of linear operators and applications to partial differential equations
- Marginal values in mixed integer linear programming
- Value function and optimality conditions for semilinear control problems
- Parametric disjunctive programming: One-sided differentiability of the value function
- Optimal control of hybrid switched systems: a brief survey
- On Fan's minimax theorem
- One-sided derivatives for the value function in convex parametric programming
- Differential properties of the marginal function in mathematical programming
- Consistent Approximations for the Optimal Control of Constrained Switched Systems---Part 1: A Conceptual Algorithm
- Consistent Approximations for the Optimal Control of Constrained Switched Systems---Part 2: An Implementable Algorithm
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Lipschitz continuity of the value function in mixed-integer optimal control problems