Optimality conditions for a controlled sweeping process with applications to the crowd motion model
DOI10.3934/dcdsb.2017014zbMath1364.49035arXiv1511.08923OpenAlexW2964179662MaRDI QIDQ523995
Boris S. Mordukhovich, Tan H. Cao
Publication date: 25 April 2017
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08923
hysteresisnecessary optimality conditionsvariational analysisdiscrete approximationsgeneralized differentiationcontrolled sweeping processcrowd motion model
Nonlinear programming (90C30) Numerical methods based on necessary conditions (49M05) Set-valued and variational analysis (49J53) Equations with nonlinear hysteresis operators (47J40) Optimality conditions (49K99)
Related Items (25)
Cites Work
- Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints
- On optimal control of a sweeping process coupled with an ordinary differential equation
- A numerical scheme for a class of sweeping processes
- Optimal control of a perturbed sweeping process via discrete approximations
- Optimal control of the sweeping process over polyhedral controlled sets
- Optimal control of ODE systems involving a rate independent variational inequality
- Existence of neighboring feasible trajectories: applications to dynamic programming for state-constrained optimal control problems
- A mathematical framework for a crowd motion model
- Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces
- Relaxation of an optimal control problem involving a perturbed sweeping process
- Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities
- Optimal Velocity Model Via Considering Multi-Velocity Difference Ahead
- Investigation of the Degeneracy Phenomenon of the Maximum Principle for Optimal Control Problems with State Constraints
- Variational Analysis
- Discrete Approximations and Refined Euler–Lagrange Conditions for Nonconvex Differential Inclusions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Optimality conditions for a controlled sweeping process with applications to the crowd motion model