Quadratic stabilization with an H ∞ performance bound of uncertain linear-time-varying systems

In this paper we deal with linear-time-varying systems subject to uncertain parameters in the so-called one block, norm bounded form. We consider the problem of designing a controller which guarantees the quadratic stabilization of the closed-loop system while keeping the norm of the operator mapping the exogenus input to the controlled output under a prespecified level. Necessary and sufficient conditions for the existence of such a controller are given.