Interconnecting a System Having a Single Input-to-State Gain With a System Having a Region-Dependent Input-to-State Gain

被引：0

作者：

Stein Shiromoto, Humberto ^{[1
]}

Andrieu, Vincent ^{[2
]}

Prieur, Christophe ^{[1
]}

机构：

[1] GIPSA Lab, Control Syst Dept, Grenoble, France

[2] Univ Lyon 1, LAGEP, F-69622 Villeurbanne, France

来源：

2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2013年

关键词：

STABILITY; THEOREM;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For an ISS system, by analyzing local and non-local properties, it is obtained different input-to-state gains. The interconnection of a system having two input-to-state gains with a system having a single ISS gain is analyzed. By employing the Small Gain Theorem for the local (resp. non-local) gains composition, it is concluded about the local (resp. global) stability of the origin (resp. of a compact set). Additionally, if the region of local stability of the origin strictly includes the region attraction of the compact set, then it is shown that the origin is globally asymptotically stable. An example illustrates the approach.

引用

页码：624 / 629

页数：6

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