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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.

Reviewer: R.M.Bianchini (Firenze)

### MSC:

93D15 | Stabilization of systems by feedback |

93B12 | Variable structure systems |

93C05 | Linear systems in control theory |

### Keywords:

feedback stabilization; switched systems; variable structure control; averaging; hybrid feedback
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\textit{M. Wicks} et al., Eur. J. Control 4, No. 2, 140--147 (1998; Zbl 0910.93062)

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### References:

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