Stability of a class of linear switching systems with time delay
Stability of a class of linear switching systems with time delay
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DOI：
10.1109/tcsi.2005.856666
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发表时间：
2006-02
期刊：
影响因子：
--
通讯作者：
Sehjeong Kim;S. A. Campbell;Xinzhi Liu
中科院分区：
文献类型：
--
作者：
Sehjeong Kim;S. A. Campbell;Xinzhi Liu
We consider a switching system composed of a finite number of linear delay differential equations (DDEs). It has been shown that the stability of a switching system composed of a finite number of linear ordinary differential equations (ODEs) may be achieved by using a common Lyapunov function method switching rule. We modify this switching rule for ODE systems to a common Lyapunov functional method switching rule for DDE systems and show that it stabilizes our model. Our result uses a Riccati-type Lyapunov functional under a condition on the time delay.
