Wu Tao, Xiong Lianglin, Cao Jinde, Liu Xinzhi
1School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, China.
2School of Mathematics, Southeast University, Nanjing, China.
J Inequal Appl. 2018;2018(1):314. doi: 10.1186/s13660-018-1911-8. Epub 2018 Nov 16.
This paper studies the problem of robust stability for uncertain neutral systems with distributed delay. By utilizing the incorporation of a new integral inequality technique and a novel Lyapunov-Krasovskii functional, some reduced conservative delay-dependent stability conditions for asymptotic stability are established. Then some special cases of neutral systems are discussed. Based on these delay-dependent stability conditions, the condition for robustness is obtained for uncertain linear delayed systems. All these stability conditions are given in terms of linear matrix inequalities (LMIs), which can easily be computed by the LMI toolbox of Matlab. Finally, several examples are discussed in detail to display the usefulness and superiority of the obtained results.
本文研究了具有分布时滞的不确定中立系统的鲁棒稳定性问题。通过结合一种新的积分不等式技术和一种新颖的Lyapunov-Krasovskii泛函,建立了一些用于渐近稳定性的降低保守性的时滞依赖稳定性条件。然后讨论了中立系统的一些特殊情况。基于这些时滞依赖稳定性条件,得到了不确定线性时滞系统的鲁棒性条件。所有这些稳定性条件均以线性矩阵不等式(LMI)的形式给出,可通过Matlab的LMI工具箱轻松计算。最后,详细讨论了几个例子以展示所得结果的有效性和优越性。