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Stability preserving maps - MaRDI portal

Stability preserving maps (Q2724382)

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scientific article; zbMATH DE number 1617880
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Stability preserving maps
scientific article; zbMATH DE number 1617880

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    19 February 2002
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    multi-input multi-output systems
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    stability preserving map
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    robust stabilization
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    simultaneous stabilization
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    plant families with parameter uncertainty
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    Stability preserving maps (English)
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    In a previous paper the author has introduced the notion of a stability preserving map and demonstrated how it can be used to develop characterizations for robust stabilization. This was done in the context of single-input, single-output systems. It was shown how the concept can be used for both simultaneous stabilization of a finite number of plants as well as for plant families with parameter uncertainty. This characterization leads to necessary and sufficient conditions for robust stabilization and new methods for controller synthesis. In this paper the notion of stability preserving maps is generalized to multi-input multi-output systems and is shown that similar results can be obtained.NEWLINENEWLINEFor the entire collection see [Zbl 0961.00036].
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