Prescribed controllability of Prabhakar fractional dynamical systems
Abstract
This manuscript investigates the controllability of systems involving the Prabhakar fractional derivative under prescribed control. First, the controllability of the linear system is studied using the Grammian matrix technique. For the nonlinear system, the existence and uniqueness of solutions are established through the application of the Schauder fixed-point theorem, and its controllability is subsequently analysed. To illustrate the practical applicability and effectiveness of the theoretical results, numerical examples are provided and discussed in detail.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Advanced Control Systems Design
Stability and Control of Uncertain Systems
Publication details
- Journal / source
- International Journal of Systems Science
- Publisher
- Informa UK Limited
- Pages
- 1–16
- Publication date
- 17 May 2026
- Language
- EN