Relative controllability of damped fractional differential system with distributed delays and impulses
Abstract
In this paper, we deal with the relative controllability of linear and nonlinear damped fractional differential system with distributed delays and impulses. The sufficient and necessary conditions for the relative controllability of the linear system under consideration are given by using the controllability Gramian matrix. We also prove a sufficient condition on the nonlinear term to ensure that the above system is relative controllable. Two instances are provided to verify that our theoretical results are accurate.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Neural Networks Stability and Synchronization
Stability and Control of Uncertain Systems
Publication details
- Journal / source
- Nonlinear Analysis Modelling and Control
- Volume
- 31
- Issue
- 1
- Pages
- 93–109
- Publication date
- 1 January 2026
- Language
- EN