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Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems. (English) Zbl 0910.93062

The paper concerns the stabilization of a system which consists of a set of two unstable linear autonomous state models. Under the assumption that a convex combination of the two models is stable, the authors prove the existence of three different stabilizing strategies: a time average control, a variable structure control, and a hybrid feedback control.

MSC:

93D15 Stabilization of systems by feedback
93B12 Variable structure systems
93C05 Linear systems in control theory
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