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含混合常时滞的中立型系统稳定性
引用本文:张玉凤1,周荣康2. 含混合常时滞的中立型系统稳定性[J]. 华侨大学学报(自然科学版), 2016, 0(3): 386-390. DOI: 10.11830/ISSN.1000-5013.2016.03.0386
作者姓名:张玉凤1  周荣康2
作者单位:1. 江苏建筑职业技术学院 机电工程学院, 江苏 徐州 221116;2. 华东理工大学 机械与动力工程学院, 上海 200237
摘    要:研究含混合常时滞的不确定中立系统的鲁棒稳定性问题,基于时滞分割方法,分别通过构造恰当的Lyapunov-Krasovskii泛函,并结合积分不等式处理技巧、自由权矩阵以及凸组合技术得到新的稳定性判据.通过数值仿真,将文中所得结论与已有的文献结果进行比较,验证结论的有效性.数值仿真表明:文中方法改善了已有文献的结果,降低了结论的保守性.

关 键 词:时滞系统  Lyapunov-Krasovskii泛函  稳定性  鲁棒性  中立系统

Study on Stability of Neutral System With Interval Time-Varying Delay
ZHANG Yufeng1,ZHOU Rongkang2. Study on Stability of Neutral System With Interval Time-Varying Delay[J]. Journal of Huaqiao University(Natural Science), 2016, 0(3): 386-390. DOI: 10.11830/ISSN.1000-5013.2016.03.0386
Authors:ZHANG Yufeng1  ZHOU Rongkang2
Affiliation:1. College of Mechanical Engineering, Jiangsu Vocational Institute of Architectural Technology, Jiangsu Xuzhou 221116, China; 2. Machinery and Power Engineering College, East China University of Science and Technology, Shanghai 200237, China
Abstract:The robust stability of uncertain neutral system with interval time-varying delay is studied. The new stability criteria are obtained by constructing appropriate Lyapunov-Krasovskii functional and combining integral inequality handling techniques, free weight matrix and convex combination. Numerical simulations are given to show the effectiveness of the proposed approach and the results of this paper are compared with the existing cited results. It shows that the method proposed in this paper improves the known results and shows less conservatism.
Keywords:time delay system  Lyapunov-Krasovskii functional  stability  robust  neutral system
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