Constructions of ISS-Lyapunov functions for interconnected impulsive systems

被引：0
|
作者：
Dashkovskiy, Sergey [2 ]
Mironchenko, Andrii [1 ]
机构：
[1] Univ Wurzburg, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany
[2] Erfurt Univ Appl Sci, D-99085 Erfurt, Germany
来源：
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2012年
关键词：
impulsive systems; input-to-state stability; dwell-time conditions; SMALL-GAIN THEOREM; STATE STABILITY; INPUT; NETWORKS;
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：
In this paper we provide two small-gain theorems for impulsive systems. The first of them provides a construction of an ISS-Lyapunov function for interconnections of impulsive systems if ISS-Lyapunov functions for subsystems are given and a small-gain condition holds. If, in addition, these given ISS-Lyapunov functions are exponential then the second theorem provides a construction of an exponential ISS-Lyapunov function for the interconnection if the gains are power functions.
引用
收藏
页码：6831 / 6836
页数：6
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