Stability of fractional-order linear time-invariant system with noncommensurate orders
Systems and Control
2012-12-18 v2 Optimization and Control
Abstract
Bounded-input bounded-output stability conditions for fractional-order linear time-invariant (LTI) system with multiple noncommensurate orders have been established in this paper. The orders become noncommensurate orders when they do not have a common divisor. Sufficient and necessary conditions of stability for this kind of fractional-order LTI system with multiple noncommensurate orders. Based on the numerical inverse Laplace transform technique, time-domain responses for a fractional-order system with double noncommensurate orders are presented to illustrate the obtained stability results.
Keywords
Cite
@article{arxiv.1106.1211,
title = {Stability of fractional-order linear time-invariant system with noncommensurate orders},
author = {Zhuang Jiao and YangQuan Chen and Yi-Sheng Zhong},
journal= {arXiv preprint arXiv:1106.1211},
year = {2012}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in equation 1