Controllability of time-varying fractional dynamical systems
Year: 2024
Type: article
Abstract: The aim of this article is to investigate the controllability results for the time-varying fractional dynamical systems with the presence of the Caputo-type fractional derivative. The Bourdin state transition matrix is used to form the solution for the time-varying fractional dynamical system. The classical Grammian matrix-based technique is utilized to derive the controllability results for time-varying linear systems, and the controllability of the proposed nonlinear type system is established by utilizing the well-known Arzela-Ascoli theorem and Schauder's fixed point theorem. The main motivation for this study is to develop the controllability results for time-varying fractional dynamical systems represented by the Caputo fractional derivative. Several numerical examples are provided to validate and illustrate the applicability of the theoretical results.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $944
OpenAlex ID: W4402508846