Common Lyapunov functions and gradient algorithms

Daniel Liberzon, Roberto Tempo

Research output: Contribution to journalArticlepeer-review


This note is concerned with the problem of finding a quadratic common Lyapunov function for a large family of stable linear systems. We present gradient iteration algorithms which give deterministic convergence for finite system families and probabilistic convergence for infinite families.

Original languageEnglish (US)
Pages (from-to)990-994
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 2004


  • Common Lyapunov functions
  • Gradient algorithms
  • Randomized algorithms
  • Switched linear systems

ASJC Scopus subject areas

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


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