Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems
Optimization and Control
2010-10-29 v1
Abstract
Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the values of the fractional integrals of the state variables. The Gramian is generalized and steering functions between memory values are characterized.
Keywords
Cite
@article{arxiv.1007.3946,
title = {Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems},
author = {Dorota Mozyrska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1007.3946},
year = {2010}
}
Comments
Submitted 30/Nov/2009; Revised (major revision) 24/April/2010; Accepted (after minor revision) 22/July/2010; for publication in Signal Processing