Saturated feedback stabilization of discrete-time descriptor bilinear systems

Guoping Lu, Gang Feng, Zhong Ping Jiang

Research output: Contribution to journalArticlepeer-review


This note addresses global asymptotic stabilization of a class of discrete-time descriptor bilinear systems via a saturated state feedback controller. Based on LaSalle invariance principle and the implicit function theorem, sufficient conditions are presented to guarantee the uniqueness and existence of solution and the global asymptotic stability of the resulting closed-loop systems simultaneously. It is shown that the condition is independent of the state transformation for the given descriptor systems. Furthermore, the effectiveness of the proposed design method is illustrated by a numerical example.

Original languageEnglish (US)
Pages (from-to)1700-1704
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number9
StatePublished - Sep 2007


  • Discrete-time bilinear descriptor systems
  • Global asymptotic stabilization
  • Saturated controller
  • State feedback

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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