Abstract
For second-order linear time-invariant (LTI) systems which are not stabilizable via a single static output feedback, we study the open problem whether there exists a finite-state hybrid static output feedback to asymptotically stabilize the system. We show that the answer to this question is affirmative for a class of second-order LTI systems, by constructing a 2-state static output feedback incorporated with a conic switching law.
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