Exact null controllability, complete stabilizability and exact final observability: the case of neutral type systems
Optimization and Control
2017-10-24 v3 Dynamical Systems
Abstract
For abstract linear systems in Hilbert spaces we revisit the problems of exact controllability and complete stabilizability (stabilizability with an arbitrary decay rate), the latter property is equivalent to exact null controllability. We extend this result to the case when the feedback is not bounded. This enables the characterization of exact null controllability and complete stabilizability for neutral type systems. By duality, we obtain a result about continuous final observability.Illustrative examples are given.
Cite
@article{arxiv.1607.01155,
title = {Exact null controllability, complete stabilizability and exact final observability: the case of neutral type systems},
author = {Rabah Rabah and Grigory Sklyar and Pavel Yu. Barkhayev and Pavel Barkhayev and Grzegorz Szkibiel},
journal= {arXiv preprint arXiv:1607.01155},
year = {2017}
}