On a few questions regarding the study of state-constrained problems in optimal control
From MaRDI portal
Publication:1730424
DOI10.1007/s10957-018-1394-2zbMath1412.49046OpenAlexW2895006019MaRDI QIDQ1730424
Fernando Lobo Pereira, D. Yu. Karamzin
Publication date: 6 March 2019
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-018-1394-2
Controllability (93B05) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items (8)
Normality and second-order optimality conditions in state-constrained optimal control problems with bounded minimizers ⋮ On Higher-Order State Constraints ⋮ Regular path-constrained time-optimal control problems in three-dimensional flow fields ⋮ Necessary optimality conditions for a class of control problems with state constraint ⋮ A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle ⋮ Regular approximations of the fastest motion of mobile robot under bounded state variables ⋮ Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints ⋮ A maximum principle for a time-optimal bilevel sweeping control problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Properties of extremals in optimal control problems with state constraints
- Optimality conditions for a controlled sweeping process with applications to the crowd motion model
- The maximum principle for optimal control problems with state constraints by R.V. Gamkrelidze: Revisited
- State constraints in optimal control. The degeneracy phenomenon
- Perturbations of extremal problems with constraints and necessary optimality conditions
- Optimal control of the sweeping process over polyhedral controlled sets
- A maximum principle for nonsmooth optimal-control problems with state constraints
- Differential stability in optimal control problems
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Nondegenerate necessary conditions for nonconvex optimal control problems with state constraints
- When is the maximum principle for state constrained problems nondegenerate?
- SQP-methods for solving optimal control problems with control and state constraints: Adjoint variables, sensitivity analysis and real-time control
- A simple `finite approximations' proof of the Pontryagin maximum principle under reduced differentiability hypotheses
- Properties of the Lagrange multipliers in the Pontryagin maximum principle for optimal control problems with state constraints
- Discrete approximations of a controlled sweeping process
- A satisfactory treatment of equality and operator constraints in the Dubovitskii-Milyutin optimization formalism
- On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems
- Convergence Results for Smooth Regularizations of Hybrid Nonlinear Optimal Control Problems
- Necessary Conditions in Nonsmooth Optimization
- Optimization and nonsmooth analysis
- Necessary conditions for a strong minimum in optimal control problems with degeneracy of the end-point and phase constraints
- Lipschitz Continuity for Constrained Processes
- FIRST-ORDER NECESSARY CONDITIONS IN THE PROBLEM OF OPTIMAL CONTROL OF A DIFFERENTIAL INCLUSION WITH PHASE CONSTRAINTS
- Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
- Lipschitz Continuity of Optimal Controls for State Constrained Problems
- Path-constrained trajectory optimization using sparse sequential quadratic programming
- Minimizing Variational Curves Restricted to a Preassigned Set
- Extremum problems in the presence of restrictions
- An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. II. Applications
- Optimal control
This page was built for publication: On a few questions regarding the study of state-constrained problems in optimal control
