摘要本文主要讨论含有时变时滞的离散切换正系统的异步镇定性.首先,通过构造适当的Lyapunov-Krasovskii泛函,得到离散切换正时滞系统在模型依赖平均驻留时间(MDADT)切换信号下指数稳定的一个充分条件.其次,通过允许所构造的Lyapunov-Krasovskii泛函在被激活的子系统和控制器不匹配的时间区间内递增,基于MDADT切换信号,得到存在一类状态反馈控制器使得闭环系统在异步切换下是正的且是指数稳定的一些充分条件.最后,给出两个数值例子说明所提出方法的有效性. | | 服务 | | ![](http://123.57.41.99/jweb_yysxxb/images/arrow.jpg) | 加入引用管理器 | ![](http://123.57.41.99/jweb_yysxxb/images/arrow.jpg) | E-mail Alert | ![](http://123.57.41.99/jweb_yysxxb/images/arrow.jpg) | RSS | 收稿日期: 2014-08-18 | | 基金资助:国家自然科学基金(61403241),西安工程大学博士科研启动金(BS1619),陕西省教育厅(17JK0340),河南省科技厅基础与前沿计划(162300410076),河南省教育厅高等学校重点科研(16A110020)资助项目. |
引用本文: | 刘婷婷, 吴保卫, 刘丽丽, 王月娥. 离散切换正时滞系统在异步切换下的镇定性[J]. 应用数学学报, 2018, 41(6): 721-734. LIU Tingting, WU Baowei, LIU Lili, WANG Yue-E. Stabilization of Discrete Switched Positive Time-delay Systems Under Asynchronous Switching. Acta Mathematicae Applicatae Sinica, 2018, 41(6): 721-734. | | | | 链接本文: | http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2018/V41/I6/721 |
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