A Study on the Fractional-Order Linear Dynamical System with Time-Varying Delays and Fracture
Abstract
This article is about the study of a novel concept of finite-time stability of a fractional-order dynamical system with time-varying delays and fracture. We have obtained the solution and established stability conditions of the system. Moreover, the controllability and observability conditions in the form of Gramian matrices and matrix conditions are derived based upon the well-known Kalman rank criteria. The results obtained are novel, and to facilitate a better understanding, we have included several illustrative examples.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Stability and Control of Uncertain Systems
Advanced Control Systems Design
Publication details
- Journal / source
- Malaysian Journal of Mathematical Sciences
- Volume
- 20
- Issue
- 1
- Pages
- 293–293
- Publication date
- 10 March 2026
- Language
- EN