Corpus ID: 216642077

Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes

@article{Mordukhovich2020DiscreteAA,
  title={Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes},
  author={B. Mordukhovich and D. Nguyen},
  journal={arXiv: Optimization and Control},
  year={2020}
}
The main goal of this paper is developing the method of discrete approximations to derive necessary optimality conditions for a class of constrained sweeping processes with nonsmooth perturbations. Optimal control problems for sweeping processes have been recently recognized among the most interesting and challenging problems in modern control theory for discontinuous differential inclusions with irregular dynamics and implicit state constrained, while deriving necessary optimality conditions… Expand
2 Citations

Figures from this paper

Optimization of Fully Controlled Sweeping Processes
  • 1
  • PDF
Optimal control of nonconvex integro-differential sweeping processes
  • PDF

References

SHOWING 1-10 OF 44 REFERENCES
Optimal control of a perturbed sweeping process via discrete approximations
  • 18
  • PDF
Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls
  • 6
  • PDF
Optimal control of a nonconvex perturbed sweeping process
  • 24
  • PDF
Optimality conditions for a controlled sweeping process with applications to the crowd motion model
  • 29
  • PDF
Optimal control of the sweeping process over polyhedral controlled sets
  • 62
  • PDF
OPTIMAL CONTROL OF THE SWEEPING PROCESS
  • 53
  • PDF
A Maximum Principle for the Controlled Sweeping Process
  • 21
  • PDF
Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models
  • 10
  • PDF
...
1
2
3
4
5
...