Quadratic stabilization of uncertain linear time-varying systems

This paper is concerned with the robust stabilization of uncertain time-varying linear systems with norm bounded perturbations in the state and input matrices. A comparison is given for the performance of linear nondynamic state feedback law with that of linear dynamic state feedback law. We also present a characterization in term of differential Riccati equation for quadratic stabilizability. All these results generalize current ones for uncertain linear systems with the nominal time-invariant and for linear time-varying systems with no uncertainty