Lyapunov stability of quasiperiodic systems

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Abstract

We present some observations on the stability and reducibility of quasiperiodic systems. In a quasiperiodic system, the periodicity of parametric excitation is incommensurate with the periodicity of certain terms multiplying the state vector. We present a Lyapunov-type approach and the Lyapunov-Floquet (L-F) transformation to derive the stability conditions. This approach can be utilized to investigate the robustness, stability margin, and design controller for the system.

Original languageEnglish (US)
Article number721382
JournalMathematical Problems in Engineering
Volume2012
DOIs
StatePublished - Nov 1 2012

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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