Backward Linear Control Systems on Time Scales
Optimization and Control
2010-07-23 v1
Abstract
We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward jump operator. Kalman criteria of controllability and observability, as well as realizability conditions, are proved.
Keywords
Cite
@article{arxiv.1004.0541,
title = {Backward Linear Control Systems on Time Scales},
author = {Ewa Pawluszewicz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1004.0541},
year = {2010}
}
Comments
Submitted November 11, 2009; Revised March 28, 2010; Accepted April 03, 2010; for publication in the International Journal of Control.