On exact controllability of neutral type time-delay systems
Optimization and Control
2015-11-13 v1 Dynamical Systems
Abstract
The paper is devoted to the problem of global exact controllability for a wide class of neutral and mixed time-delay systems. We consider an equivalent operator model in Hilbert space and formulate steering conditions of controllable states as a vector moment problem. The existence of a basis of eigenvectors of system operator allows to simplify substantially the form of the moment problem. A change of control by a feedback law allows to modify the system structure to guarantee the existence of a basis of eigenvectors of the corresponding operator. We prove a criterion of exact controllability and ascertain the precise critical time of controllability.
Cite
@article{arxiv.1511.03708,
title = {On exact controllability of neutral type time-delay systems},
author = {R. Rabah and G. M. Sklyar and P. Yu. Barkhayev},
journal= {arXiv preprint arXiv:1511.03708},
year = {2015}
}