Robust controllability of interval fractional order linear time invariant systems

被引：0

作者：

Chen, YangQuan ^{[1
]}

Ahn, Hyo-Sung ^{[1
]}

Xue, Dingyu ^{[1
]}

机构：

[1] Utah State Univ, Coll Engn, Ctr Self Organizing & Intelligent Syst, Dept Elect & Comp Engn, Logan, UT 84322 USA

来源：

PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 6, PTS A-C | 2005年

关键词：

fractional order systems; robust controllability; interval linear time invariant systems; interval matrix; linear dependency of interval vectors;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider uncertain fractional-order linear time invariant (FO-LTI) systems with interval coefficients. Our focus is on the robust controllability issue for interval FO-LTI systems in state-space form. We re-visited the controllability problem for the case when there is no interval uncertainty. It turns out that the stability check for FO-LTI systems amounts to checking the conventional integer order state space using the same state matrix A and the input coupling matrix B. Based on this fact, we further show that, for interval FO-LTI systems, the key is to check the linear dependency of a set of interval vectors. Illustrative examples are presented.

引用

页码：1537 / 1545

页数：9

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