Controllability of Nonlinear Fractional Systems with Multiple State and Control Delays

Aydın M.

Journal of Nonlinear Modeling and Analysis, vol.7, no.5, pp.1965-1981, 2025 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 5
  • Publication Date: 2025
  • Doi Number: 10.12150/jnma.2025.1965
  • Journal Name: Journal of Nonlinear Modeling and Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.1965-1981
  • Keywords: Fractional differential system, Mittag-Leffler-type function, multiple control delays, multiple state delays, multivariate matrix equations, relative controllability
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

This study focuses on examining the controllability of nonlinear fractional differential systems in finite-dimensional spaces, considering multiple delays in both state and control. For linear systems, the necessary and sufficient conditions for relative controllability are established through the definition and application of the Gramian matrix. For nonlinear systems, controllability conditions are derived using Schauder’s fixed point theorem.