Maximal Perturbation Bounds for the Robust Stability of Fractional-Order Linear Time-Invariant Parameter-Dependent Systems

被引：2

作者：

Qian, Ruo-Nan ^{[1
,2
]}

Lu, Jun-Guo ^{[1
,2
]}

Zhang, Qing-Hao ^{[1
,2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2022年 / 69卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fractional-order system; linear time-invariant parameter-dependent system; robust stability; maximal perturbation bound; STABILIZATION; INTERVAL;

D O I：

10.1109/TCSII.2021.3119656

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This brief investigates the maximal perturbation bounds of fractional-order linear time-invariant parameter-dependent systems with the commensurate order alpha is an element of(0,1). Firstly, new sufficient and necessary conditions for the maximal perturbation bounds of such parameter-dependent systems with the single parameter are given using the Kronecker sum. Secondly, the results with the single parameter case are extended to the cases with the multiple parameters. Ultimately numerical examples are presented to verify that the proposed methods in this brief are valid.

引用

页码：1257 / 1261

页数：5

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