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中文摘要：
研究一类时变时滞Lurie系统的鲁棒性和绝对稳定性问题.根据时变时滞分段分析方法,引入三重积分算子设计一个新的Lyapunov-Krasovskii泛函,得到一些保守性更小的时滞相关稳定性判据.采用相互凸松弛方法与边界不等式相结合,避免忽略泛函微分中的有用项,减少额外自由变量及计算量.通过数值实验分析表明了所提方法的有效性和先进性.
英文摘要：
Aim to the problem of delay-dependent absolute stability and robust stability for the Lurie systems with time-varying delay are studied in this paper. By combining the piecewise analytical method with introducing some triple-integral terms, a novel Lyapunov- Krasovskii functional is constructed. A novel less conservative stability criteria without any extra free variables is obtained through using a bounding inequality, which is further improved at the cost of introducing some extra free variables in the proposed reciprocally Convex Relaxating （RCR） approach. Numerical examples show the effectiveness of the proposed approach.
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