Input-to-state stability for descriptor systems with non-linear perturbations

被引：5

作者：

Zhou, Z. ^{[1
]}

Yang, C. ^{[2
]}

Zhang, Q. ^{[1
]}

Cai, M. ^{[3
]}

机构：

[1] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Liaoning Prov, Peoples R China

[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Liaoning Prov, Peoples R China

[3] Dalian Jiaotong Univ, Sch Sci, Dalian 116028, Liaoning Prov, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2011年 / 5卷 / 13期

关键词：

STRONGLY ABSOLUTE STABILITY; REGULARIZATION;

D O I：

10.1049/iet-cta.2010.0483

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This study considers input-to-state stability (ISS) for descriptor systems with non-linear perturbations. The linear parts of the systems are allowed to be unstable. By using Lyapunov stability theory and linear matrix inequality (LMI), an LMI-based ISS criterion is derived. Furthermore, the trajectory boundedness of descriptor systems with non-linear perturbations is discussed by the newly developed result. Finally, an example is given to show the effectiveness of the proposed methods.

引用

页码：1561 / 1567

页数：7

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