Robust Stability of Networks of iISS Systems: Construction of Sum-Type Lyapunov Functions

被引：61

作者：

Ito, Hiroshi ^{[1
]}

Jiang, Zhong-Ping ^{[2
]}

Dashkovskiy, Sergey N. ^{[3
]}

Rueffer, Bjoern S. ^{[4
]}

机构：

[1] Kyushu Inst Technol, Dept Syst Design & Informat, Iizuka, Fukuoka 8208502, Japan

[2] NYU, Polytech Inst, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA

[3] Univ Appl Sci, Dept Civil Engn, D-99051 Erfurt, Germany

[4] Univ Paderborn, EIM E, Signal & Syst Theory Grp, D-33098 Paderborn, Germany

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 05期

基金：

美国国家科学基金会;

关键词：

Integral input-to-state stability (iISS); large-scale systems; Lyapunov functions; nonlinear systems; robust stability criteria; SMALL-GAIN THEOREM; TO-STATE STABILITY; INTEGRAL INPUT; ISS SYSTEMS; FORMULATION;

D O I：

10.1109/TAC.2012.2231552

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 paper gives a solution to the problem of verifying stability of networks consisting of integral input-to-state stable (iISS) subsystems. The iISS small-gain theorem developed recently has been restricted to interconnections of two subsystems. For large-scale systems, stability criteria relying only on gain-type information that were previously developed address only input-to-state stable (ISS) subsystems. To address the stability problem involving iISS subsystems interconnected in general structure, this paper shows how to construct Lyapunov functions of the network by means of a sum of nonlinearly rescaled individual Lyapunov functions of subsystems under an appropriate small-gain condition.

引用

页码：1192 / 1207

页数：16

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