Hybrid feedback stabilization of quasilinear systems in the plane

Elena Litsyn, Yurii Nepomnyashchikh, Arcady Ponosov

Research output: Contribution to journalArticlepeer-review


We apply Artstein's hybrid feedback algorithm to stabilize quasilinear dynamical systems with complex multipliers in the plane. We study only the case of incomplete observation when ordinary feedback controls do not work. The main results of the paper state that Artstein's procedure provides an arbitrary rate of asymptotic convergence/divergence of solutions. In other words, we prove the complete controllability from below of the upper Lyapunov exponent and the uniform upper Lyapunov exponent for the quasilinear systems in question.

Original languageEnglish
Pages (from-to)347-366
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 May 2005


  • Hybrid feedback control
  • Quasilinear dynamical systems
  • Upper Lyapunov exponents


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