Hybrid static output feedback stabilization of second-order linear time-invariant systems

Bo Hu, Guisheng Zhai, Anthony N. Michel

Research output: Contribution to journalArticle

23 Citations (Scopus)


For second-order linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we study the open problem whether there exists a finite-state hybrid static output feedback to asymptotically stabilize the system. We show that the answer to this question is affirmative for a class of second-order LTI systems, by constructing a 2-state static output feedback incorporated with a conic switching law.

Original languageEnglish
Pages (from-to)475-485
Number of pages11
JournalLinear Algebra and Its Applications
Publication statusPublished - 2002 Oct 13



  • Conic switching law
  • Hybrid static output feedback
  • Second-order LTI system
  • Stabilization

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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