Stability analysis for a class of switched nonlinear time-delay systems

被引：31
作者：
Kermani, M. [1 ]
Sakly, A. [1 ]
机构：
[1] Natl Engn Sch Monastir ENIM, Res Unit Ind Syst Study & Renewable Energy ESIER, Skaness 5019, Monastir, Tunisia
来源：
SYSTEMS SCIENCE & CONTROL ENGINEERING | 2014年 / 2卷 / 01期
关键词：
discrete-time switched nonlinear time-delay systems; arbitrary switching; global asymptotic stability; M-matrix; Kotelyanski lemma; arrow matrix;
D O I：
10.1080/21642583.2013.879543
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 investigates the stability analysis for a class of discrete-time switched nonlinear time-delay systems. These systems are modelled by a set of delay difference equations, which are represented in the state form. Then, another transformation is made towards an arrow form. Therefore, by applying the Kotelyanski conditions combined to the M - matrix properties, new delay-independent sufficient stability conditions under arbitrary switching which correspond to a Lyapunov function vector are established. The obtained results are explicit and easy to use. A numerical example is provided to show the effectiveness of the developed results.
引用
收藏
页码：80 / 89
页数：10
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