Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

Sajewski L.

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Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

机译：分散控制器的两种不同分数令的正描述符分数离散时间线性系统的稳定化

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摘要

Positive descriptor fractional discrete-time linear systems with fractional different orders are addressed in the paper. The decomposition of the regular pencil is used to extend necessary and sufficient conditions for positivity of the descriptor fractional discrete-time linear system with different fractional orders. A method for finding the decentralized controller for the class of positive systems is proposed and its effectiveness is demonstrated on a numerical example.

机译：本文研究了分数阶不同阶的正广义分数阶离散线性系统。利用正则束的分解推广了具有不同分数阶的广义分数阶离散线性系统正性的充要条件。提出了一种求解这类正系统分散控制器的方法，并通过数值算例证明了其有效性。

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《Bulletin of the Polish Academy of Sciences. Technical Sciences》 |2017年第5期|共6页
作者
Sajewski L.;
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作者单位

Bialystok Tech Univ Fac Elect Engn 45D Wiejska St PL-15351 Bialystok Poland;

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正文语种 eng
中图分类一般工业技术;年鉴、年刊;
关键词
positive; fractional; different order; noncomensurate; descriptor; stabilization; decentralized controller;

机译：积极的;分数;不同的顺序;不符号;描述符;稳定;分散控制器;

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6. Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller [J] . ?. SajewskiCorresponding authorFaculty of Electrical Engineering Bialystok University of Technology 45D Wiejska St. 15-351 Bialystok PolandEmailOther articles by this author:De Gruyter OnlineGoogle Scholar Bulletin of the Polish Academy of Sciences. Technical Sciences . 2017,第5期

机译：带有分散控制器的具有两个不同分数阶的正描述符分数阶离散时间线性系统的镇定
7. Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller [J] . Sajewski L. Bulletin of the Polish Academy of Sciences. Technical Sciences . 2017,第5期

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Stabilization of positive descriptor fractional discrete-time linear system with two different fractional orders by decentralized controller

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