On convexity of reachable sets of second order differential inclusions

Mahmudov E.

Applicable Analysis, vol.102, no.18, pp.4943-4954, 2023 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 102 Say: 18
  • Nəşr tarixi: 2023
  • Doi nömrəsi: 10.1080/00036811.2022.2149507
  • jurnalın adı: Applicable Analysis
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Səhifə sayı: pp.4943-4954
  • Açar sözlər: Cauchy, Hamiltonian, integral funnel, reachable set, second-order differential inclusion
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In control theory, there is growing interest in the evolution of sets, especially integral funnels and reachable sets at a certain time. In this paper, we establish sufficient conditions for the convexity of reachable sets for an object whose behavior is described by the second-order differential inclusions. This fact is proved using the concavity of the Hamilton function in the first argument. Further, in connection with the usefulness of the Hamilton function, some of its properties, such as continuity and Lipschitz property, are investigated. At the end of the article, the results obtained are demonstrated with some examples.