Supplemental Stability Criteria with New Formulation for Linear Time-Invariant Fractional-Order Systems

被引：1
|
作者：
Lv, Yuanda [1 ]
Zhang, Jin-Xi [2 ]
Zhang, Xuefeng [1 ]
机构：
[1] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 02期
基金：
中国国家自然科学基金;
关键词：
fractional-order systems; Kronecker product operator; congruent transformation; linear matrix inequality; CALCULUS;
D O I：
10.3390/fractalfract8020077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, new stability criteria for linear time-invariant fractional-order systems (LTIFOSs) based on linear matrix inequalities (LMIs) are derived. The solved variable of the existing LMI formulations is generalized to a complex one. In addition, based on the congruent transformation, a new LMI formulation is obtained, which is different from those in the existing literature. To deal with the above LMIs more conveniently with simulation software, the complex LMIs are converted to equivalent real LMIs. Finally, numerical examples are presented to validate the effectiveness of our theoretical results.
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页数：13
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