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Lyapunov Stability of Quasiperiodic Systems

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  • Sangram Redkar

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.

Suggested Citation

  • Sangram Redkar, 2012. "Lyapunov Stability of Quasiperiodic Systems," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-10, May.
    • Handle: RePEc:hin:jnlmpe:721382
    DOI: 10.1155/2012/721382
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