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Stability and Stabilization of block-cascading switched linear systems
  • 时间：0
  • 分类：TP[自动化与计算机技术]
  • 相关基金：Supported partly by National Natural Science Foundation of PRC （No. 60343001, 60274010, 66221301 and 60334040）
  • 相关项目：控制科学中若干关键基础问题的研究
关键词： 切换的线性系统, 二次的稳定性, 普通二次的, Lyapunov, 功能, 可约的谎言代数学, 串联教友派会员词根, Switching linear system, quadratic stability, common quadratic Lyapunov function, reducible Lie algebra,cascading Quaker Lemma
中文摘要：

这篇论文的主要目的是用可约的谎言代数学在交换线性系统调查二次的稳定性和稳定的问题。首先，我们为一个给定的线性系统调查所有真实不变的 subspaces 的结构。结果然后被用来为交换模型提供一种可比较的串联形式。用普通串联形式，普通二次的 Lyapunov 功能是(QLF ) 被发现斜块的普通 QLF 探索。另外，一个串联教友派会员词根被证明。把它与稳定性结果相结合，为交换线性系统的一个类的反馈稳定的问题被解决。交换线性系统的关键词 - 二次的稳定性 - 普通二次的 Lyapunov 功能 - 可约的谎言代数学 - 中华人民共和国(号码 60343001， 60274010， 66221301 和 60334040 ) 的国家自然科学基础部分支持的串联教友派会员词根你 hong 朱收到了她的 B.Sc。在来自苏州大学的数学的部门的度，在 2002 的中国苏州。自从 2002，她是在系统科学的研究所的一个研究生学生，中国科学院。她的研究兴趣包括非线性的控制系统，交换系统。Dai-Zhan Cheng 在 1970 从清华大学毕业了，从研究生院收到了他的 M.Sc，在 1981 的中国科学院(CAS ) ，来自在 1985 的华盛顿大学的博士。自从 1990，他是有系统科学，数学的学院和系统科学(AMSS ) 的研究所的一个教授， CAS。他是 160 篇杂志论文， 6 本书和 80 篇会议论文的作者 / 合作者。他的研究兴趣为控制设计包括非线性的控制系统，交换系统， Hamiltonian 系统和数字实现。琴教授当前是控制理论， CSA，和 IEEE 家伙上的技术委员会的主席。

英文摘要：

The main purpose of this paper is to investigate the problem of quadratic stability and stabilization in switched linear systems using reducible Lie algebra. First, we investigate the structure of all real invariant subspaces for a given linear system. The result is then used to provide a comparable cascading form for switching models. Using the common cascading form, a common quadratic Lyapunov function is （QLFs） is explored by finding common QLFs of diagonal blocks. In addition, a cascading Quaker Lemma is proved. Combining it with stability results, the problem of feedback stabilization for a class of switched linear systems is solved.

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