Stability analysis of second-order switched homogeneous systems

David Holcman, Michael Margaliot

Research output: Contribution to journalArticlepeer-review


We study the stability of second-order switched homogeneous systems. Using the concept of generalized first integrals we explicitly characterize the "most destabilizing" switching-law and construct a Lyapunov function that yields an easily verifiable, necessary and sufficient condition for asymptotic stability. Using the duality between stability analysis and control synthesis, this also leads to a novel algorithm for designing a stabilizing switching controller.

Original languageEnglish
Pages (from-to)1609-1625
Number of pages17
JournalSIAM Journal on Control and Optimization
Issue number5
StatePublished - 2003


  • Absolute stability
  • Hybrid control
  • Hybrid systems
  • Robust stability
  • Switched linear systems


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