留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于事件触发的时滞Lur’e系统主从同步研究

马健武 高燕 顾凤蛟 陈玲琦

马健武, 高燕, 顾凤蛟, 陈玲琦. 基于事件触发的时滞Lur’e系统主从同步研究[J]. 应用数学和力学, 2021, 42(7): 751-763. doi: 10.21656/1000-0887.410228
引用本文: 马健武, 高燕, 顾凤蛟, 陈玲琦. 基于事件触发的时滞Lur’e系统主从同步研究[J]. 应用数学和力学, 2021, 42(7): 751-763. doi: 10.21656/1000-0887.410228
MA Jianwu, GAO Yan, GU Fengjiao, CHEN Lingqi. Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering[J]. Applied Mathematics and Mechanics, 2021, 42(7): 751-763. doi: 10.21656/1000-0887.410228
Citation: MA Jianwu, GAO Yan, GU Fengjiao, CHEN Lingqi. Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering[J]. Applied Mathematics and Mechanics, 2021, 42(7): 751-763. doi: 10.21656/1000-0887.410228

基于事件触发的时滞Lur’e系统主从同步研究

doi: 10.21656/1000-0887.410228
详细信息
    作者简介:

    马健武(1995—),男,硕士生(E-mail: 1596673894@qq.com);高燕(1985—),女,讲师,博士,硕士生导师(通讯作者. E-mail: gy@sues.edu.cn).

    通讯作者:

    高燕(1985—),女,讲师,博士,硕士生导师(通讯作者. E-mail: gy@sues.edu.cn).

  • 中图分类号: O175

Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering

  • 摘要: 研究了基于事件触发采样控制的时滞混沌Lur’e系统主从同步问题.首先考虑了系统中包含的传输时滞构造了系统时滞模型.然后,通过构造三重积分项的Lyapunov-Krasovskii泛函,并结合Wirtinger积分不等式和凸组合技术对Lyapunov-Krasovskii泛函的导数进行估计,给出了混沌系统主从同步的充分条件.所提出的事件触发机制应用于主从同步研究中,可以有效地减少采样数据传输,缓解网络带宽压力,提高网络带宽利用率.最后,通过时滞蔡氏电路的数值仿真,验证了所提出同步准则的有效性.
  • 陈洪凯, 唐红梅, 王林峰, 等. 缓倾角岩质陡坡后退演化的力学机制[J]. 岩土工程学报, 2010,32(3): 468-473.

    (CHEN Hongkai, TANG Hongmei, WANG Linfeng, et al. Mechanical mechanism for retreat evolution of steep rock slopes with gentle dip[J]. Chinese Journal of Geotechnical Engineering,2010,32(3): 468-473.(in Chinese))
    [2]唐红梅, 叶四桥, 陈洪凯. 危岩主控结构面应力强度因子求解分析[J]. 地下空间与工程学报, 2006,2(3): 393-397.(TANG Hongmei, YE Siqiao, CHEN Hongkai. Analysis on solution of stress strength factor of control fissure in unstable rock[J]. Chinese Journal of Underground Space and Engineering,2006,2(3): 393-397.(in Chinese))
    [3]唐红梅, 陈洪凯, 王智, 等. 危岩破坏激振效应试验研究[J]. 岩土工程学报, 2013,35(11): 2117-2122.(TANG Hongmei, CHEN Hongkai, WANG Zhi, et al. Experimental study on excitation effect for unstable rock[J]. Chinese Journal of Geotechnical Engineering,2013,35(11): 2117-2122.(in Chinese))
    [4]周云涛. 三峡库区危岩稳定性断裂力学计算方法[J]. 岩土力学, 2016,37(S1): 495-499.(ZHOU Yuntao. A method for calculating the stability of unstable rocks on three gorges reservoir by fracture mechanics[J]. Rock and Soil Mechanics,2016,〖STHZ〗 37(S1): 495-499.(in Chinese))
    [5]王林峰, 陈洪凯, 唐红梅. 复杂反倾岩质边坡的稳定性分析方法研究[J]. 岩土力学, 2014,35(S1): 181-188.(WANG Linfeng, CHEN Hongkai, TANG Hongmei. Stability analysis method for complex anti-inclined rock slopes[J]. Rock and Soil Mechanics,2014,35(S1): 181-188.(in Chinese))
    [6]LI J, HU B, YAO W M, et al. Stability analysis of toppling failure of the anti-inclined rock slopes[J]. Electronic Journal of Geotechnical Engineering,2016,21(5): 1847-1858.
    [7]ZHAO W, WANG R Q, NIAN T K. Stability analysis of anti-dip rock slopes with flexural toppling failure based on deformation compatibility[J]. Rock Mechanics and Rock Engineering,2020,53: 3207-3221.
    [8]LIU C, JAKSA M, MEYERS A. A transfer coefficient method for rock slope toppling[J]. Canadian Geotechnical Journal,2009,46: 1-9.
    [9]LIU C, JAKSA M, MEYERS A. Toppling mechanisms of rock slopes considering stabilization from the underlying rock mass[J]. International Journal of Rock Mechanics and Mining Sciences,2010,47(2): 348-354.
    [10]周子涵, 陈忠辉, 王建明, 等. 卸荷条件下岩石平行偏置双裂隙的扩展规律研究[J]. 岩土工程学报, 2019,42(4): 721-730.(ZHOU Zihan, CHEN Zhonghui, WANG Jianming, et al. Propagation of offset parallel cracks in rock under unloading conditions[J]. Chinese Journal of Geotechnical Engineering,2019,42(4): 721-730.(in Chinese))
    [11]唐红梅, 舒庆江, 王林峰. 考虑地震力方向的倾倒式危岩可靠度分析[J]. 应用数学和力学, 2020,41(3): 319-328.(TANG Hongmei, SHU Qingjiang, WANG Linfeng. Reliability analysis of perilous toppling rock considering seismic force directions[J]. Applied Mathematics and Mechanics,2020,41(3): 319-328.(in Chinese))
    [12]SCAVIA C. Fracture mechanics approach to stability analysis of rock slopes[J]. Engineering Fracture Mechanics,1990,35(4/5): 899-910.
    [13]MICHALOWSKI R L, PARK D. Stability assessment of slopes in rock governed by the Hoek-Brown strength criterion[J]. International Journal of Rock Mechanics and Mining Sciences,2020,127: 104-217.
    [14]王曼灵, 王爱涛, 李阳, 等. 基于FEMLIP的全风化边坡失稳破坏全过程的数值模拟研究[J]. 应用数学和力学, 2019,40(3): 269-281.(WANG Manling, WANG Aitao, LI Yang, et al. Numerical simulation of the whole instability and destruction process for fully weathered slopes based on the FEMLIP[J]. Applied Mathematics and Mechanics,2019,40(3): 269-281.(in Chinese))
    [15]杨忠平, 刘树林, 刘永权, 等. 反复微震作用下顺层及反倾岩质边坡的动力稳定性分析[J]. 岩土工程学报, 2018,40(7): 1277-1286.(YANG Zhongping, LIU Shulin, LIU Yongquan, et al. Dynamic stability analysis of bedding and toppling rock slopes under repeated micro-seismic action[J]. Chinese Journal of Geotechnical Engineering,2018,40(7): 1277-1286.(in Chinese))
    [16]杨忠平, 来云亮, 刘树林, 等. 频发微震下上覆软弱岩体边坡动力稳定及失稳模式[J]. 岩土工程学报, 2019,40(7): 2297-2306.(YANG Zhongping, LAI Yunliang, LIU Shulin, et al. Dynamic stability and failure mode of slopes with overlying weak rock mass under frequent micro-seismic actions[J]. Chinese Journal of Geotechnical Engineering,2019,40(7): 2297-2306.(in Chinese))
    [17]何思明, 吴永, 李新坡. 地震诱发岩体崩塌的力学机制[J]. 岩石力学与工程学报, 2010,29(S1): 3359-3363.(HE Siming, WU Yong, LI Xinpo. Collapse mechanism of danger rock triggered by earthquake[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(S1): 3359-3363.(in Chinese))
    [18]何思明, 吴永, 李新坡. 强震荷载下裂缝岩体拉剪破坏机理[J]. 工程力学, 2012,29(4): 178-184.(HE Siming, WU Yong, LI Xinpo. Failure mechanism of unstable rock under seismic tension-shear action[J]. Engineering Mechanics,2012,29(4): 178-184.(in Chinese))
    [19]李傲赢, 蒋良潍, 罗强, 等. 国内工程行业规范中的地震作用对比分析[J]. 建筑结构, 2019,49(S2): 344-349.(LI Aoying, JIANG Liangwei, LUO Qiang, et al. Comparative analysis of earthquake action in domestic engineering industry code[J]. Building Structure,2019,49(S2): 344-349.(in Chinese))
    [20]唐红梅, 张旭晨, 王林峰, 等. 川东南灰岩地区陡高边坡的地貌演化研究: 以重庆市金佛山甄子岩为例[J]. 重庆师范大学学报(自然科学版), 2018,35(5): 54-62.(TANG Hongmei, ZHANG Xuchen, WANG Linfeng, et al. Study on the landforms evolution of high cliff in limestone area: taking Zhenziyan cliff of Jinfo Mountain in Chongqing city as an example[J]. Journal of Chongqing Normal University(Natural Science Edition),2018,35(5): 54-62.(in Chinese))
    [21]李佳壕, 吴礼舟. 危岩应力强度因子的计算研究[J]. 工程地质学报, 2013,21(2): 236-242.(LI Jiahao, WU Lizhou. Calculation of stress intensity factors of unstable rock[J]. Journal of Engineering Geology,2013,21(2): 236-242.(in Chinese))
    [22]IRWIN G R. Analysis of stress and strains near the end of a crack extension force[J]. Journal of Applied Mechanics,1957,24: 361-364.
    [23]中国航空研究院. 应力强度因子手册[M]. 增订版. 北京: 科学出版社, 1993.(Chinese Aeronautical Establishment. Manual of Stress Intensity Factor [M]. Enlarged ed. Beijing: Science Press, 1993.(in Chinese))
    [24]陈洪凯, 唐红梅, 王林峰, 等. 危岩崩塌演化理论及应用[M]. 北京: 科学出版社, 2009.(CHEN Hongkai, TANG Hongmei, WANG Linfeng, et al. The Theory and Application of Collapse Evolution of Unstable Rock[M]. Beijing: Science Press, 2009.(in Chinese))
    [25]管辉, 黄炳香, 冯峰. 灰岩试样三点弯曲断裂特性试验研究[J]. 煤炭科学技术, 2012,40(7): 5-9.(GUAN Hui, HUANG Binxiang, FENG Feng. Experiment study on three point bending broken features of limestone sample[J]. Coal Science and Technology,2012,〖STHZ〗 40(7): 5-9.(in Chinese))
    [26]包含, 伍法权, 郗鹏程. 岩石Ⅰ型断裂韧度估算及其影响因素分析[J]. 煤炭学报, 2017,42(3): 604-612.(BAO Han, WU Faquan, XI Pengcheng. Estimation of mode Ⅰ fracture toughness of rock and its impact factors analysis[J]. Journal of China Coal Society,2017,42(3): 604-612.(in Chinese))
    [27]重庆市地质环境监测总站. 地质灾害防治工程设计标准: DBJ50/T-029-2019[S]. 重庆: 重庆市住房和城乡建设委员会, 2020.(Chongqing General Station of Geological Environment Monitoring. Standard for design of geological hazard prevention: DBJ50/T-029-2019[S]. Chongqing: Chongqing Housing and Urban Rural Construction Commission, 2020.(in Chinese))
  • 加载中
计量
  • 文章访问数:  517
  • HTML全文浏览量:  105
  • PDF下载量:  46
  • 被引次数: 0
出版历程
  • 收稿日期:  2020-08-03
  • 修回日期:  2020-10-27

目录

    /

    返回文章
    返回