Stabilizing second-order linear dynamic systems via hybrid output feedback controls

Abstract

This paper considers the open problem whether there exists a finite-state hybrid output feedback control to asymptotically stabilize a second-order linear dynamic system. More precisely, for second-order linear time-invariant systems which are not stabilizable via a single static output feedback, we find two different output feedback gains and a switching law orchestrating the feedback gains such that the closed-loop system is asymptotically stable. © Springer-Verlag Berlin Heidelberg 2006.