English

Differential stability of a class of convex optimal control problems

Optimization and Control 2017-07-14 v1

Abstract

A parametric constrained convex optimal control problem, where the initial state is perturbed and the linear state equation contains a noise, is considered in this paper. Formulas for computing the subdifferential and the singular subdifferential of the optimal value function at a given parameter are obtained by means of some recent results on differential stability in mathematical programming. The computation procedures and illustrative examples are presented.

Keywords

Cite

@article{arxiv.1707.03955,
  title  = {Differential stability of a class of convex optimal control problems},
  author = {Duong Thi Viet An and Jen-Chih Yao and Nguyen Dong Yen},
  journal= {arXiv preprint arXiv:1707.03955},
  year   = {2017}
}