Abstract

We mainly discuss the problem of robust stabilization of linear time-varying interval systems. We transform the linear interval systems into linear time-varying systems with norm bounded, structured uncertainties. To our best knowledge, we have not found any such report in the open literature. Based on this transformation, we give a sufficient condition of robust stability for the linear time-varying interval systems and a method to design the robust controller which assures that the closed-loop linear time-varying interval systems are asymptotically stable.

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