Global stabilization for linear continuous time-varying systems

In this paper, stabilization problem via static output feedback controls for linear time-varying systems is investigated. Based on the Lyapunov function techniques, we show that for linear time-varying systems the global null-controllability guarantees the output feedback stabilization. The verifiable stabilizability conditions and output feedback control design are stated. The result can be applicable to the output feedback stabilizability of a class of nonlinear time-varying systems. Numerical examples illustrated the conditions are given.