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基于驻留时间受限的分布参数切换系统的指数稳定性分析
  • ISSN号：1003-7985
  • 期刊名称：《东南大学学报：英文版》
  • 时间：0
  • 分类：TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]东南大学复杂工程系统测量与控制教育部重点试验室,南京210096, [2]东南大学自动化学院,南京210096
  • 相关基金：The National Natural Science Foundation of China （ No. 61273119, 61104068, 61374038）, the Natural Science Foundation of Jiangsu Province （No. BK2011253）.
作者： 鲍乐平[1], 费树岷[1], 翟军勇[2]
关键词： 分布参数切换系统, 指数镇定, 多李雅普若夫函数, 线性算子不等式, 驻留时间, distributed parameter switched systems, exponential stabilization, multiple Lyapunov function, linear operator inequalities, dwell time
中文摘要：

将有限维切换系统指数可稳性结果推广至无穷维Hilbert空间中的分布参数切换系统．以半群理论为基础，通过利用多Lyapunov函数方法，推导了指数可镇定的充分条件．这些条件以线性算子不等式的形式给出，其决定变量是Hilbert空间中的算子；同时系统的可稳性依赖于驻留时间受限的切换规则．在应用到带Dirichlet边界条件的二维热传导切换系统时，这些线性算子不等式被转化成标准的线性矩阵不等式．最后，通过2个例子说明给出结果的有效性．

英文摘要：

The exponential stabilization problem for finite dimensional switched systems is extended to the infinite dimensional distributed parameter systems in the Hilbert space. Based on the semigroup theory, by applying the multiple Lyapunov function method, the exponential stabilization conditions are derived. These conditions are given in the form of linear operator inequalities where the decision variables are operators in the Hilbert space; while the stabilization properties depend on the switching rule. Being applied to the two-dimensional heat switched propagation equations with the Dirichlet boundary conditions, these linear operator inequalities are transformed into standard linear matrix inequalities. Finally, two examples are given to illustrate the effectiveness of the proposed results.

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期刊信息
  • 《东南大学学报：英文版》
  • 主管单位:教育部
  • 主办单位:东南大学
  • 主编：毛善锋
  • 地址：南京市四牌楼2号
  • 邮编：210096
  • 邮箱：xuebao@seu.edu.cn
  • 电话：025-83794323 83794343传
  • 国际标准刊号：ISSN：1003-7985
  • 国内统一刊号：ISSN：32-1325/N
  • 邮发代号:
  • 获奖情况:
  • 2010年和2012年荣获第三届和第四届中国高校优秀科...
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  • 被引量:493