Minimal modified energy control for fractional linear control systems with the Caputo derivative
Optimization and Control
2010-09-15 v1
Abstract
Fractional control systems with the Caputo derivative are considered. The modified controllability Gramian and the minimum energy optimal control problem are investigated. Construction of minimizing steering controls for the modified energy functional are proposed.
Keywords
Cite
@article{arxiv.1004.3113,
title = {Minimal modified energy control for fractional linear control systems with the Caputo derivative},
author = {Dorota Mozyrska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1004.3113},
year = {2010}
}
Comments
Submitted 17-Dec-2009; Revised 17-March-2010; recommended 31-March-2010 for publication in Carpathian J. Math. 26 (2010), no. 2. (http://carpathian.ubm.ro/)