Sum-separable Lyapunov functions for networks of ISS systems: A gain function approach

被引：0
|
作者：
Ruffer, Bjorn S. [1 ]
Ito, Hiroshi [2 ]
机构：
[1] Univ Newcastle, Callaghan, NSW 2308, Australia
[2] Kyushu Inst Technol, Iizuka, Fukuoka, Japan
来源：
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年
关键词：
TO-STATE STABILITY; LARGE-SCALE; MONOTONE SYSTEMS; INTEGRAL INPUT; IISS; CONSTRUCTION; THEOREM; FORMULATION;
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：
It has been known for a decade now that for networks of input-to-state stable (ISS) systems a Lyapunov function for the network can be constructed as a maximum of re-scaled Lyapunov functions of the subsystems. In this work it is shown that -under the same conditions- instead one could as well choose a sum of re-scaled Lyapunov functions, which is not inherently non-smooth, thus answering a long open question. Moreover, the present approach is constructive, and explicit formulas for the cases of two and three subsystems are stated.
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页码：1823 / 1828
页数：6
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