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OALib Journal期刊
ISSN: 2333-9721
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Stability criteria for switched linear systems with time-delay
切换线性时滞系统的稳定性判据

Keywords: switched linear systems,time delay,common Lyapunov function,asymptotic stability,matrix measure
切换线性系统
,时滞,公共Lyapunov函数,渐近稳定性,矩阵测度

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Abstract:

The stability problem for a class of switched linear systems with time-delay is considered. Based on the Lyapunov function method and the concept of matrix measure, we propose both the time-delay independent criteria and the time-delay dependent criteria for the asymptotic stability and exponential stability respectively. The corresponding stabilizing switching laws are also provided. Two examples are given to show the validity of the presented algorithms.

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