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On the global polynomial stabilization and observation with optimal decay rate

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  • Jammazi, Chaker
  • Boutayeb, Mohamed
  • Bouamaied, Ghada

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.

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  • Jammazi, Chaker & Boutayeb, Mohamed & Bouamaied, Ghada, 2021. "On the global polynomial stabilization and observation with optimal decay rate," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008018
    DOI: 10.1016/j.chaos.2021.111447
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    References listed on IDEAS

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    1. Wang, Cong & Zhang, Hong-li & Fan, Wen-hui & Ma, Ping, 2020. "Finite-time function projective synchronization control method for chaotic wind power systems," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
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    Cited by:

    1. Jammazi, Chaker & Boutayeb, Mohamed & Saidi, Karima, 2023. "On the fixed-time extinction based nonlinear control and systems decomposition: applications to bilinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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