Linear State Feedback Stabilization on Time Scales
Optimization and Control
2009-10-19 v1
Abstract
For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly exponentially stable with a prescribed rate. The methods here generalize and extend Gramian-based linear state feedback control to much more general time domains, e.g. nonuniform discrete or a combination of continuous and discrete time. In conclusion, we discuss an experimental implementation of this theory.
Cite
@article{arxiv.0910.3034,
title = {Linear State Feedback Stabilization on Time Scales},
author = {Billy J. Jackson and John M. Davis and Ian A. Gravagne and Robert J. Marks},
journal= {arXiv preprint arXiv:0910.3034},
year = {2009}
}
Comments
15 pages