ON APPROXIMATELY CONTROLLABLE SYSTEMS SURVEY

Mahmudov N., McKibben M. A.

Applied and Computational Mathematics, vol.15, no.3, pp.247-264, 2016 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 15 Say: 3
  • Nəşr tarixi: 2016
  • jurnalın adı: Applied and Computational Mathematics
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.247-264
  • Açar sözlər: Approximate Controllability, Controllability Operator, Fractional Evolution Equation, Resolvent Condition
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The aim of this article is to provide a thorough analysis of the approximate con-trollability of abstract systems, beginning with the inception of the concept in the 1960s. The study begins with a discussion of abstract infinite-dimensional linear systems where the notion of approximate controllability originated. The extension of this foundational theory to nonlinear systems is reviewed, followed by a modern treatment of fractional approximate controllability which has significant applications in the mathematical modeling of phenomena across disciplines.