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The homological perturbation lemma and its applications to robust stabilization

Abstract

Within the lattice approach to analysis and synthesis problems, we show how standard results on robust stabilization can be obtained in a unified way and generalized when interpreted as a particular case of the so-called homological perturbation lemma. This lemma plays a significant role in algebraic topology, homological algebra, computer algebra, etc. Our results show that it is also central to robust control theory for (infinite-dimensional) linear systems.

Dates and versions

hal-01259960 , version 1 (21-01-2016)

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Alban Quadrat. The homological perturbation lemma and its applications to robust stabilization. 8th IFAC Symposium on Robust Control Design (ROCOND), Jul 2015, Bratislava, Slovakia. ⟨10.1016/j.ifacol.2015.09.425⟩. ⟨hal-01259960⟩
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