Relationships Between Subclasses of Integral Input-to-State Stability

被引：3

作者：

Kellett, Christopher M. ^{[1
]}

Dower, Peter M. ^{[2
]}

Ito, Hiroshi ^{[3
]}

机构：

[1] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW, Australia

[2] Univ Melbourne, Dept Elect & Elect Engn, Melbourne, Vic, Australia

[3] Kyushu Inst Technol, Dept Syst Design & Informat, 680-4 Kawazu, Iizuka, Fukuoka 8208502, Japan

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 05期

关键词：

Integral input-to-state stability; nonlinear L-p-gain; Lyapunov methods; SMALL-GAIN THEOREM; STRONG IISS; ISS; SYSTEMS; EQUIVALENCES; PROPERTY; L-2-GAIN; CASCADE;

D O I：

10.1109/TAC.2016.2598165

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A certain "qualitative equivalence" has been recently demonstrated between integral input-to-state stability (iISS) and a nonlinear L-2-gain property. Furthermore, it has been observed that the properties of strong iISS and nonlinear L-2-gain are preserved when multiple systems satisfying the respective property are connected in cascade. This technical note clarifies the relationships between various input-to-state stability and (non)linear L-p-gain properties.

引用

页码：2476 / 2482

页数：7

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