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时滞分布参数切换系统渐进稳定及L2增益分析(英文) 被引量:1

Asymptotic Stability and L2 Gain Analysis of Distributed Parameter Switched Delay Systems
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摘要 研究时滞分布参数切换系统渐进稳定及L2增益问题。通过多Lyapunov方法,利用Wirtinger’s不等式等,给出了一类时滞分布参数切换系统渐进稳定及L2增益的充分条件,这些条件以线性矩阵不等式(LMI)形式和任意切换信号给出。最后,通过matlab仿真说明所给结论的有效性。 A class of switched distributed parameter delay systems are considered in this paper. By means of multiple Lyapunov functions method, wirtinger^s inequality, sufficient conditions of asymptotic stabil-ity and L2 gain are derived. These conditions are given in the form of linear matrix inequalities (LMIs) and arbitrary signal. The theoretical result is illustrated through matlab simulation.
作者 鲍乐平 王攀 王晓勇 BAO Leping;WANG Pan;WANG Xiaoyong(Department of Automation, Taiyuan Institute of Technology, Taiyuan, Shangxi 030008, China;School of Automation, Southeast University, Nanjing,jiangsu,210096,China)
出处 《贵州大学学报(自然科学版)》 2019年第4期74-79,共6页 Journal of Guizhou University:Natural Sciences
基金 国家自然科学基金项目资助(No.11661020,61673169)
关键词 分布参数系统 切换系统 时滞 任意切换 渐进稳定 L2增益 distributed parameter system switched system time-delay arbitrary switching L2 gain
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