We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Controllability of the time-varying fractional dynamical systems with a single delay in control.
- Authors
Vishnukumar, K. S.; Sivalingam, S. M.; Ahmad, Hijaz; Govindaraj, V.
- Abstract
In this article, we explored the controllability of fractional dynamical systems with a single delay in the control function with the Caputo fractional derivative. It is the first work in which the author studies the controllability of a time-varying fractional dynamical system with a delay in the control function. We develop the necessary and sufficient criteria for the solution representation of controllability of time-varying fractional linear dynamical systems by utilizing the Grammian matrix. We use Schauder's fixed point theorem to establish sufficient conditions for the controllability of time-varying nonlinear fractional dynamical systems. With the help of successive approximation techniques, numerical examples validate the theoretical results.
- Subjects
DYNAMICAL systems; LINEAR dynamical systems; CAPUTO fractional derivatives; NONLINEAR dynamical systems
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 10, p8281
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-024-09411-3