混合变时滞不确定中立型系统鲁棒稳定性分析

研究一类含混合变时滞不确定中立系统时滞相关鲁棒稳定性问题。基于时滞中点值，把时滞区间均分成两部分，通过构造包含时滞中点信息的增广泛函和三重积分项的Lyapunov-Krasovskii (L-K)泛函，利用L-K稳定性定理、积分不等式方法和自由权矩阵技术，建立了一种基于线性矩阵不等式(LMI)的、与离散时滞和中立时滞均相关的鲁棒稳定性判据。数值算例表明，该判据改善了已有文献的结论，具有更低的保守性。

Stability analysis for uncertain neutral systems with mixed time-varying delays

The delay-dependent robust stability problem for uncertain neutral system with mixed time-varying delays is studied. The whole delay interval is partitioned into two equidistant subintervals at its central point and a new Lyapunov-Krasovskii(L-K) which contains some triple-integral terms and augment terms are introduced on these intervals. Then, by using the L-K stability theorem, the integral inequalities method together with the free weighting matrix approach, a neutral and discrete delay-dependent stability criteria for the system is formulated in terms of linear matrix inequalities(LMIs). Finally, the simulation results show that the proposed criterion improves some exist results and have less conservatism.