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.
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页码：1192 / 1207
页数：16
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