Chamfering Max-Separable Lyapunov Functions to Accept Non-ISS in Interconnected Systems

被引：2
|
作者：
Ito, Hiroshi [1 ]
机构：
[1] Kyushu Inst Tech, Syst Design & Informat, 680-4 Kawazu, Iizuka, Fukuoka 8208502, Japan
来源：
2019 AMERICAN CONTROL CONFERENCE (ACC) | 2019年
关键词：
SMALL-GAIN THEOREM; STABILITY; NETWORKS; IISS;
D O I：
10.23919/acc.2019.8815086
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 aims to unify the construction of Lyapunov functions for interconnected systems comprising integral input-to-state stable (iISS) and input-to-state stable (ISS) subsystems. The sum-separable Lyapunov functions reported for interconnected iISS systems in the literature successfully apply to ISS and linear systems since stable linear systems are ISS, and ISS systems are iISS. However, the sum-separable Lyapunov functions remain seriously complicated and they do not agree with popular Lyapunov functions even if systems are ISS or linear. This paper resolves the complexity and disagreement by proposing a framework of chamfering the corner of the max-separable Lyapunov function which was popular for ISS systems, but could not alone accommodate iISS subsystems which are not ISS.
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页码：2402 / 2407
页数：6
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