Stability Analysis of Linear Time-Invariant Distributed-Order Systems
Systems and Control
2012-12-18 v2 Optimization and Control
Abstract
Bounded-input bounded-output stability condition of linear time invariant (LTI) distributed-order system over integral interval has been established for the first time. Two cases about weighting function of the distributed order are investigated, and sufficient and necessary conditions of stability for these two types of distributed-order systems are derived. Based on the complex integration analysis, time-domain responses of distributed-order systems are also given by analytical method, and numerical examples are presented to illustrate the proposed conditions.
Keywords
Cite
@article{arxiv.1106.1207,
title = {Stability Analysis of Linear Time-Invariant Distributed-Order Systems},
author = {Zhuang Jiao and YangQuan Chen and Yi-Sheng Zhong},
journal= {arXiv preprint arXiv:1106.1207},
year = {2012}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error in equation 1