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中文摘要：
研究了含范数有界参数不确定性的奇异时滞系统的时滞相关状态反馈镇定控制器的设计问题。首先,利用Lyapunov技巧,以LMIs的形式给出了标称奇异时滞系统正则,无脉冲模且零解渐近稳定的一种新的时滞相关型判据。然后,基于广义二次稳定性的概念,以LMIs的形式给出了时滞相关状态反馈镇定控制器存在的一个充分条件。
英文摘要：
In this paper, the problem of the delay-dependent robust stability criterion and robust stabilization for singular time-delay systems with norm-bounded parametric uncertainty is investigated. First, by using the Lyapunov technique and linear matrix inequalities （LMIs）, a delay-dependent stability criterion for the normal singular time-delay system is established, which guarantees the system to be regular, impulse free and asymptotically stable. Then, based on the concept of generalized quadratic stability, a delay-dependent sufficient condition for the existence of the state feedback robust stabilized controller in the forms of linear matrix inequalities is obtained.
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