期刊文献+

Stability of switched linear systems via cascading

Stability of switched linear systems via cascading
下载PDF
导出
摘要 In order to investigate the problem of quadratic stability of switched linear systems via cascading, all the real invariant subspaces of a given linear system were investigated, and the result was used to provide comparable cascading form of switching models. Using the common cascading form, a common quadratic Lyapunov function (CQLF) can be found by the set of CQLF of diagonal blocks. In order to investigate the problem of quadratic stability of switched linear systems via cascading, all the real invariant subspaces of a given linear system were investigated, and the result was used to provide comparable cascading form of switching models. Using the common cascading form, a common quadratic Lyapunov function (CQLF) can be found by the set of CQLF of diagonal blocks.
出处 《吉林大学学报(工学版)》 EI CAS CSCD 北大核心 2004年第3期408-411,共4页 Journal of Jilin University:Engineering and Technology Edition
基金 SupportedbytheChineseNationalNaturalScienceFoundation(6 0 3430 0 1 6 0 2 74 0 10 )
关键词 SWITCHING LINEAR system QUADRATIC STABILITY CQLF switching linear system quadratic stability CQLF
  • 相关文献

参考文献8

  • 1JEON D,TOMIZUKA M. Learning hybrid force and position control of robot manipulators[J]. IEEE Trans Robot, 1996,9:423-431.
  • 2SIRA-RANIREZ H. Nonlinear P-I controller design for switch mode dc-to-dc power converters[J]. IEEE Trans Circuits Syst, 1991,38(4):410-417.
  • 3LIBERZON D, HESPANHA J P, MORSE A S. Stability of switched systems: a Lie-algebraic condition[J]. Sys Contr Lett, 1999,37(3):117-122.
  • 4OOBA T, FUNAHASHI Y. Two conditions concerning common QLFs for linear systems[J]. IEEE Trans Automat Contr, 1997,42(5):719-721.
  • 5SHORTEN R N, NARENDRA K S. Necessary and sufficient condition for the existence of a common quadratic Lyapunov function for M-stable linear second order systems[Z]. Proc 2000ACC, 2000:359 -363.
  • 6CHENG D, GUO L, HUANG J. On quadratic Lyapunov functions[J]. IEEE Trans. Aut. Contr. ,2003,48(5):885-890.
  • 7CHENG D. Stabilization of planar switched systems[J]. Sys Contr Lett, 2004,51(2):79-88.
  • 8WAN Zhexian. Lie Algebra[M]. Beijing :Science Press, 1964:31-34.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部