On the global polynomial stabilization and observation with optimal decay rate

Chaker Jammazi, Mohamed Boutayeb and Ghada Bouamaied

Chaos, Solitons & Fractals, 2021, vol. 153, issue P2

Abstract: New investigations in the problems of polynomial stabilization are presented in this paper, where some relaxed results related to homogeneity theory leading to this polynomial stability with optimal decay rate are developed. To achieve our analysis, several physical examples are presented showing how we can construct stabilizing feedback laws making these closed loop systems polynomially stable with optimal decay rates. This allows the redesign of (a) homogeneous feedbacks stabilizing polynomially the Heisenberg system in weak sense, (b) and the polynomial observer for the angular momentum satellite with one control input.

Keywords: Asymptotic estimation; Homogeneous feedbacks; Homogeneous observers; Polynomial stability; Optimal decay (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008018

DOI: 10.1016/j.chaos.2021.111447

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