Academic literature on the topic 'Multiplicity-Induced-Dominancy'
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Journal articles on the topic "Multiplicity-Induced-Dominancy"
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.
Full textMazanti, 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.
Full textMei, 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 (November 2022): 1747–62. http://dx.doi.org/10.1007/s10483-022-2921-8.
Full textAuriol, 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.
Full textFueyo, 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.
Full textBoussaada, 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 (April 26, 2022): 349–69. http://dx.doi.org/10.5802/crmath.293.
Full textBoussaada, 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 (April 26, 2022): 349–69. http://dx.doi.org/10.5802/crmath.293.
Full textCastillo-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.
Full textMolnar, 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.
Full textBenarab, 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.
Full textDissertations / Theses on the topic "Multiplicity-Induced-Dominancy"
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.
Full textOne of the questions of ongoing interest for linear time-delay systems is to determine conditions on the equation's parameters that guarantee the exponential stability of solutions. In general, it is quite a challenge to establish conditions on the parameters of the system in order to guarantee such a stability. One of the effective approaches in the stability analysis of time-delay systems is the frequency domain approach. In the Laplace domain, the stability analysis amounts to study the distribution of characteristic quasipolynomial functions' roots. Once the stability of a delay system has been proven, it is important to characterize the exponential decay rate of the solutions of such systems. In the frequency domain, this decay rate corresponds to the dominant spectral value. Recent works emphasized the link between maximal multiplicity and dominant roots. Indeed, conditions for a given multiple root to be dominant are investigated, this property is known as Multiplicity-Induced-Dominancy (MID). In this dissertation, three topics related to the MID property are investigated. Firstly, the effect of multiple roots with admissible multiplicities exhibiting, under appropriate conditions, the validity of the MID property for second-order neutral time-delay differential equations with a single delay is explored. The stabilization of the classical oscillator benefits from the obtained results. Secondly, the effects of time-delays on the stability of Unmanned Aerial Vehicles (UAVs) is exploited. In this regard, a symbolic/numeric application of the MID property in the control of UAV rotorcrafts featuring time-delays is provided. Lastly, the stabilization of a rolling balance board by means of the MID property is considered
Conference papers on the topic "Multiplicity-Induced-Dominancy"
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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