 Investigation of controllability and stability of fractional dynamical systems with delay in controlAnjapuli Panneer Selvam and Venkatesan Govindaraj Mathematics and Computers in Simulation (MATCOM), 2024, vol. 220, issue C, 89-104 Abstract: The primary objective of this research is to investigate the controllability and Hyers–Ulam stability of fractional dynamical systems represented by ψ-Caputo fractional derivative with delay in control. To establish the necessary and sufficient conditions for assessing the controllability of linear fractional systems, which are notably distinguished by the presence of Mittag-Leffler functions, we employ the positivity of the Grammian matrix. Also, we present sufficient conditions for the controllability requirements for nonlinear fractional systems utilizing the fixed-point technique. The Hyers-Ulam stability technique is used to determine the sufficient condition for the stability of fractional nonlinear systems with delay in control. Numerical instances are provided to enhance comprehension of the theoretical findings. Keywords: Fractional calculus; Delay dynamical systems; Controllability Grammian; Hyers–Ulam stability; ψ-Caputo fractional derivative; Fixed point theorem (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:220:y:2024:i:c:p:89-104 DOI: 10.1016/j.matcom.2024.01.011 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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