吉林大学学报(工学版) ›› 2004, Vol. ›› Issue (3): 408-411.

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Stability of switched linear systems via cascading

ZHU Yahong, CHENG Daizhan, XI Zairong   

  1. Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2004-02-16 Online:2004-07-01

Abstract: 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.

Key words: switching linear system, quadratic stability, CQLF

CLC Number: 

  • O231.1
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