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Stabilization of Persistently Excited Linear Systems by Delayed Feedback Laws

Guilherme Mazanti 1, *
* Corresponding author
1 GECO - Geometric Control Design
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
Abstract : This paper considers the stabilization to the origin of a persistently excited linear system by means of a linear state feedback, where we suppose that the feedback law is not applied instantaneously, but after a certain positive delay (not necessarily constant). The main result is that, under certain spectral hypotheses on the linear system, stabilization by means of a linear delayed feedback is indeed possible, generalizing a previous result already known for non-delayed feedback laws.
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Submitted on : Thursday, March 27, 2014 - 5:46:20 PM
Last modification on : Thursday, July 2, 2020 - 9:00:05 PM
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Guilherme Mazanti. Stabilization of Persistently Excited Linear Systems by Delayed Feedback Laws. Systems and Control Letters, Elsevier, 2014, 68, pp.57-67. ⟨10.1016/j.sysconle.2014.03.006⟩. ⟨hal-00850971v2⟩

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