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Relevant bibliographies by topics / Multiplicity-Induced-Dominancy

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Journal articles
Dissertations / Theses
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Academic literature on the topic 'Multiplicity-Induced-Dominancy'

Author: Grafiati

Published: 25 May 2024

Last updated: 31 July 2025

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Journal articles on the topic "Multiplicity-Induced-Dominancy"

1

Boussaada, Islam, Silviu-Iulian Niculescu, Ali El-Ati, Redamy Pérez-Ramos, and Karim Trabelsi. "Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 57. http://dx.doi.org/10.1051/cocv/2019073.

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This work revisits recent results on maximal multiplicity induced-dominancy for spectral values in reduced-order time-delay systems and extends it to the general class of second-order retarded differential equations. A parametric multiplicity-induced-dominancy property is characterized, allowing to a delayed stabilizing design with reduced complexity. As a matter of fact, the approach is merely a delayed-output-feedback where the candidates’ delays and gains result from the manifold defining the maximal multiplicity of a real spectral value, then, the dominancy is shown using the argument prin

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2

Mazanti, Guilherme, Islam Boussaada, and Silviu-Iulian Niculescu. "Multiplicity-induced-dominancy for delay-differential equations of retarded type." Journal of Differential Equations 286 (June 2021): 84–118. http://dx.doi.org/10.1016/j.jde.2021.03.003.

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3

Mei, Zisong, and Zaihua Wang. "Multiplicity-induced optimal gains of an inverted pendulum system under a delayed proportional-derivative-acceleration feedback." Applied Mathematics and Mechanics 43, no. 11 (2022): 1747–62. http://dx.doi.org/10.1007/s10483-022-2921-8.

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AbstractThis paper studies the stabilization to an inverted pendulum under a delayed proportional-derivative-acceleration (PDA) feedback, which can be used to understand human balance in quiet standing. The closed-loop system is described by a neutral delay differential equation (NDDE). The optimal feedback gains (OFGs) that make the exponential decaying rate maximized are determined when the characteristic equation of the closed-loop has a repeated real root with multiplicity 4. Such a property is called multiplicity-induced dominancy of time-delay systems, and has been discussed intensively

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4

Auriol, Jean, Islam Boussaada, Hugues Mounier, and Silviu-Iulian Niculescu. "Torsional-vibrations Damping in Drilling Systems: Multiplicity-Induced-Dominancy based design." IFAC-PapersOnLine 54, no. 9 (2021): 428–33. http://dx.doi.org/10.1016/j.ifacol.2021.06.159.

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5

Fueyo, Sébastien, Guilherme Mazanti, Islam Boussaada, Yacine Chitour, and Silviu-Iulian Niculescu. "Insights into the multiplicity-induced-dominancy for scalar delay-differential equations with two delays." IFAC-PapersOnLine 54, no. 18 (2021): 108–14. http://dx.doi.org/10.1016/j.ifacol.2021.11.124.

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6

Boussaada, Islam, Guilherme Mazanti, and Silviu-Iulian Niculescu. "The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions." Comptes Rendus. Mathématique 360, G4 (2022): 349–69. http://dx.doi.org/10.5802/crmath.293.

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7

Boussaada, Islam, Guilherme Mazanti, and Silviu-Iulian Niculescu. "The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions." Comptes Rendus. Mathématique 360, G4 (2022): 349–69. http://dx.doi.org/10.5802/crmath.293.

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8

Castillo-Zamora, José J., Islam Boussaada, Amina Benarab, and Juan Escareno. "Time-delay control of quadrotor unmanned aerial vehicles: a multiplicity-induced-dominancy-based approach." Journal of Vibration and Control, May 21, 2022, 107754632210827. http://dx.doi.org/10.1177/10775463221082718.

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The current work exploits the effects of time-delays on the stability of unmanned aerial vehicles s). In this regard, the main contribution is a symbolic/numeric application of the multiplicity-induced-dominancy property in the control of unmanned aerial vehicles rotorcrafts featuring time-delays. The multiplicity-induced-dominancy property is considered to address two of the most representative aerial robotic platforms: a classical quadrotor vehicle and a quadrotor vehicle endowed with tilting rotors. The aforementioned property leads to an effective delayed feedback control design (multiplic

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9

Molnar, Csenge A., Tamas Balogh, Islam Boussaada, and Tamas Insperger. "Calculation of the critical delay for the double inverted pendulum." Journal of Vibration and Control, May 15, 2020, 107754632092690. http://dx.doi.org/10.1177/1077546320926909.

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Single and double inverted pendulum systems subjected to delayed state feedback are analyzed in terms of stabilizability. The maximum (critical) delay that allows a stable closed-loop system is determined via the multiplicity-induced-dominancy property of the characteristic roots, that is the dominant (rightmost) roots are associated with higher multiplicity under certain conditions of the system parameters. Other methods such as tracking the changes of the D-curves with increasing delay and the Walton–Marshall method are also demonstrated for the example of the single pendulum. For the double

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10

Benarab, Amina, Islam Boussaada, Silviu-Iulian Niculescu, and Karim L. Trabelsi. "Multiplicity-Induced-Dominancy for Delay Systems: Comprehensive Examples in the Scalar Neutral Case." European Journal of Control, June 2023, 100835. http://dx.doi.org/10.1016/j.ejcon.2023.100835.

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Dissertations / Theses on the topic "Multiplicity-Induced-Dominancy"

1

Benarab, Amina. "Contribution to the partial pole placement problem for some classes of time-delay systems with applications." Electronic Thesis or Diss., université Paris-Saclay, 2022. http://www.theses.fr/2022UPAST136.

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Une des questions d'intérêt pour les systèmes linéaires à retard est de déterminer les conditions sur les paramètres de l'équation qui garantissent la stabilité exponentielle des solutions. En général, c'est un véritable défi d'établir des conditions sur les paramètres du système afin de garantir une telle stabilité. L'une des approches efficaces dans l'analyse de stabilité des systèmes à retard est l'approche fréquentielle. Dans le domaine de Laplace, l'analyse de stabilité revient à étudier la distribution des racines des fonctions quasipolynomiales caractéristiques. Une fois la stabilité d'

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Conference papers on the topic "Multiplicity-Induced-Dominancy"

1

Ma, Dan, Islam Boussaada, Catherine Bonnet, Silviu-Iulian Niculescu, and Jie Chen. "Multiplicity-Induced-Dominancy Extended to Neutral Delay Equations: Towards a Systematic PID Tuning Based on Rightmost Root Assignment." In 2020 American Control Conference (ACC). IEEE, 2020. http://dx.doi.org/10.23919/acc45564.2020.9147341.

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