Lyapunov Stability of Quasiperiodic Systems

Sangram Redkar
2012 Mathematical Problems in Engineering  
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.
doi:10.1155/2012/721382 fatcat:mrsnutqtp5fgda6ckd6zwjrgla