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On finite/fixed-time stability analysis based on sup-and sub-homogeneous extensions

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  • معلومة اضافية
    • Contributors:
      Finite-time control and estimation for distributed systems (VALSE); Inria Lille - Nord Europe; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL); Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS); National Research University of Information Technologies, Mechanics and Optics St. Petersburg (ITMO); Centrale Lille; This work was partially supported by ANR-15-CE23-0007 (Project Finite4SoS), by the Government of Russian Federation (Grant 08-08) and the Ministry of Science and Higher Education of Russian Federation, passport of goszadanie n° 2019-0898.; ANR-15-CE23-0007,Finite4SoS,Commande et estimation en temps fini pour les Systèmes de Systèmes(2015)
    • بيانات النشر:
      HAL CCSD
      Elsevier
    • الموضوع:
      2021
    • Collection:
      LillOA (HAL Lille Open Archive, Université de Lille)
    • نبذة مختصرة :
      International audience ; Fixed-time and finite-time stabilities of non-linear systems are investigated using the introduced notions of sub-and sup-homogeneity. These concepts allow the systems to be analyzed using the homogeneity, even if they do not admit homogeneous approximations. Finite-time and fixed-time stability properties can be established using homogeneity degree of sub-and sup-homogeneous extensions.
    • Relation:
      hal-03131583; https://inria.hal.science/hal-03131583; https://inria.hal.science/hal-03131583v2/document; https://inria.hal.science/hal-03131583v2/file/On_finite_fixed_time_stability_analysis_based_on_sup__and_sub_homogeneous_extensions-BRAIDIZ.pdf
    • الرقم المعرف:
      10.1016/j.sysconle.2021.104893
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.E6B65EA7