Lyapunov Stability of Quasiperiodic Systems

Sangram Redkar

Mathematical Problems in Engineering, 2012, vol. 2012, 1-10

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:721382

DOI: 10.1155/2012/721382

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