Grey system model on time scales

TL;DR

This paper introduces the Grey System Model on Time Scales (GST-T), integrating Grey System Theory with time scales calculus to analyze hybrid systems with uncertain or incomplete information across discrete and continuous domains.

Contribution

It presents a novel model combining Grey System Theory with time scales calculus, enabling unified analysis of hybrid systems with uncertain data.

Findings

GST-T effectively models hybrid systems with uncertain information.

The model unifies discrete and continuous analysis within a single framework.

GST-T demonstrates robustness in systems with varying time domains.

Abstract

The Grey System Theory (GST) is a powerful mathematical framework employed for modeling systems with uncertain or incomplete information. This paper proposes an integration of the GST with time scales, a generalized approach that encompasses both discrete and continuous time models. The proposed model, called the Grey System Model on Time Scales (GST-T), offers a robust solution for analyzing hybrid systems where events occur on varying time domains.