Abstract
This paper considers a system consisting of a set of two unstable linear autonomous state models. Control is achieved by selecting which system to activate. The control objective is to quadratically stabilise the state trajectory by switching between the two unstable systems. Presuming the existence of a stable convex combination of the two unstable system matrices, three stabilising control strategies are discussed: time average control, a variable structure control, and a hybrid feedback control. Two examples are provided to illustrate the ideas in the paper.
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