A Note on Uniform Exponential Stability of Linear Periodic Time-Varying Systems

In this paper, we derive a new criterion for uniform stability assessment of the linear periodic time-varying systems: ẋ = A(t)x and A(t+T) = A(t). As a corollary, the lower and upper bounds for the Floquet characteristic exponents are established. The approach is based on the use of logarithmic norm of the system matrix A(t). Finally, we analyze the robustness of the stability property under external disturbance.