A Novel Finite Time Stability Analysis of Nonlinear Fractional-Order Time Delay Systems: A Fixed Point Approach

TL;DR

This paper introduces a new method for analyzing the finite time stability of nonlinear fractional-order systems with time delays using a fixed point approach, providing sufficient conditions for robustness.

Contribution

It presents a novel fixed point-based framework for finite time stability analysis of fractional-order time delay systems, which is a new approach in this area.

Findings

Established sufficient conditions for robust finite time stability.

Validated the approach with two illustrative examples.

Demonstrated effectiveness of the fixed point method in stability analysis.

Abstract

In this article, a novel Finite Time Stability (FTS) analysis of Fractional-Order Time Delay Systems (FOTDSs) is proposed. By using the fixed point approach, sufficient conditions for the robust FTS of FOTDSs have been established. Two illustrative examples are provided to prove the validity of the main result.