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Delay-dependent robust stability for Lurie control systems with multiple time-delays
多时滞Lurie控制系统的时滞相关鲁棒稳定性

Keywords: Lurie control systems with multiple time-delays,Lyapunov function,delay-dependent robust stability,linear matrix inequality (LMI)
多时滞Lurie控制系统
,Lyapunov函数,时滞相关鲁棒稳定性,线性矩阵不等式

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Abstract:

The stability condition of Lurie control systems with time-delay relates to the choice of Lyapunov function.In this paper,the system with multiple time-delays is transformed,then a suitable Lyapunov function is selected,the delay-dependent robust stability condition for Lurie control systems with multiple time-delays is obtained by applying Lyapunov stability method and associating with Moon's lemma,and the condition is given by a linear matrix inequality (LMI).Finally,the effectiveness of the condition is illustrated by an example.

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