# Optimal control of a nonconvex perturbed sweeping process

@article{Cao2017OptimalCO, title={Optimal control of a nonconvex perturbed sweeping process}, author={Tan H. Cao and B. Mordukhovich}, journal={arXiv: Optimization and Control}, year={2017} }

The paper concerns optimal control of discontinuous differential inclusions of the normal cone type governed by a generalized version of the Moreau sweeping process with control functions acting in both nonconvex moving sets and additive perturbations. This is a new class of optimal control problems in comparison with previously considered counterparts where the controlled sweeping sets are described by convex polyhedra. Besides a theoretical interest, a major motivation for our study of such… Expand

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#### References

SHOWING 1-10 OF 50 REFERENCES

Optimality conditions for a controlled sweeping process with applications to the crowd motion model

- Mathematics
- 2015

On optimal control of a sweeping process coupled with an ordinary differential equation

- Mathematics
- 2014

Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities

- Mathematics, Computer Science
- Math. Program.
- 2014

Discrete Approximations and Refined Euler--Lagrange Conditions forNonconvex Differential Inclusions

- Mathematics
- 1995

Discrete approximations, relaxation, and optimization of one-sided Lipschitzian differential inclusions in Hilbert spaces

- Mathematics
- 2007

Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model.

- Mathematics, Computer Science
- 2018