Existence of Solutions and Relative Controllability of a Stochastic System with Nonpermutable Matrix Coefficients

Abuasbeh K., Mahmudov N., Awadalla M.

Fractal and Fractional, vol.6, no.6, 2022 (SCI-Expanded, SSCI, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 6 Say: 6
  • Nəşr tarixi: 2022
  • Doi nömrəsi: 10.3390/fractalfract6060307
  • jurnalın adı: Fractal and Fractional
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, INSPEC, Directory of Open Access Journals
  • Açar sözlər: approximate controllability, existence, relative controllability, stochastic equation, uniqueness
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this study, time-delayed stochastic dynamical systems of linear and nonlinear equations are discussed. The existence and uniqueness of the stochastic semilinear time-delay system in finite dimensional space is investigated. Introducing the delay Gramian matrix, we establish some sufficient and necessary conditions for the relative approximate controllability of time-delayed linear stochastic dynamical systems. In addition, by applying the Banach fixed point theorem, we establish some sufficient relative approximate controllability conditions for semilinear time-delayed stochastic differential systems. Finally, concrete examples are given to illustrate the main results.