Lyapunov Stability of Quasiperiodic Systems

الملخص EN

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.