Controllability and necessary second-order optimality conditions in optimal control problems
Optimization and Control
2017-09-05 v1
Abstract
The paper puts forward sufficient conditions for local controllability of a control dynamical system. The results obtained are meaningful in the case when the linear approximation to this system is not completely controllable. As a corollary, we obtain necessary second-order optimality conditions for a general optimal control problem.
Cite
@article{arxiv.1709.00683,
title = {Controllability and necessary second-order optimality conditions in optimal control problems},
author = {E. R. Avakov and G. G. Magaril-Il'yaev},
journal= {arXiv preprint arXiv:1709.00683},
year = {2017}
}