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Stabilization of fractional bilinear systems with multiple inputs

Stabilization of fractional bilinear systems with multiple inputs In this paper, we study in a constructive way the stabilization problem of fractional bilinear systems with multiple inputs. Using the quadratic Lyapunov functions and some additional hypotheses on the unit sphere, we construct stabilizing feedback laws for the considered fractional bilinear system. A numerical example is given to illustrate the efficiency of the obtained result. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics-A Journal of Chinese Universities Springer Journals

Stabilization of fractional bilinear systems with multiple inputs

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Publisher
Springer Journals
Copyright
Copyright © Editorial Committee of Applied Mathematics 2023
ISSN
1005-1031
eISSN
1993-0445
DOI
10.1007/s11766-023-3976-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study in a constructive way the stabilization problem of fractional bilinear systems with multiple inputs. Using the quadratic Lyapunov functions and some additional hypotheses on the unit sphere, we construct stabilizing feedback laws for the considered fractional bilinear system. A numerical example is given to illustrate the efficiency of the obtained result.

Journal

Applied Mathematics-A Journal of Chinese Universities – Springer Journals

Published: Mar 1, 2023

Keywords: stabilization; fractional system; bilinear system; multiple inputs; Lyapunov functions; 93D15

References

  • Stabilization with relaxed controls
    Artstein, Z
  • Fractional differential equations and Lyapunov functionals
    Burton, T A
  • Non-linear Mittag-Leffler stabilisation of commensurate fractional-order nonlinear systems
    Ding, D S; Qi, D L; Wang, Q
  • A new definition of fractional derivative
    Khalil, R; Al Horani, M; Yousef, A; Sababheh, M
  • Lyapunov theory for fractional differential equations
    Lakshmikantham, V; Leela, S; Sambandham, M
  • Mittag-Leffler stability of fractional order nonlinear dynamic systems
    Li, Y; Chen, Y; Podlubny, I
  • Stability of fractional-order nonlinear dynamic system: Lyapunov direct method and generalized Mittag-Leffler stability
    Li, Y; Chen, Y; Podlubny, I
  • Stability and stabilization of fractional-order linear systems subject to input saturation
    Lim, Y H; Oh, K K; Ahn, H S
  • Analysis and design of fractional-order digital control systems
    Machado, J A T
  • Lyapunov functions for fractional order systems
    Aguila-Camacho, N; Manuel Duarte-Mermoud, A; Javier Gallegos, A
  • A “universal” construction of Artstein s Theorem on nonlinear stabilization
    Sontag, E D
  • An extension of estimation of domain of attraction for fractional order linear system subject to saturation control
    Shahri, E S A; Alfi, A; Tenreiro Machado, J A
  • Robust stability and stabilization of uncertain fractional order systems subject to input saturation
    Shahri, E S A; Alfi, A; Tenreiro Machado, J A
  • Lyapunov method for the stability analysis of uncertain FO systems under input saturation
    Shahri, E S A; Alfi, A; Tenreiro Machado, J A
  • Introducci n al control fraccionario
    Vinagre, B M; Monje, A C
  • Adaptive Mittag-Leffler stabilization of a class of fractional order uncertain nonlinear systems
    Wang, Q; Zhang, J L; Ding, D S; Qi, D L