Property of defect diminishing and stability

TL;DR

This paper establishes that the property of defect diminishing in a system is equivalent to the system's stability with a linear rate, providing a theoretical link between these concepts.

Contribution

It introduces a novel equivalence between defect diminishing and linear stability, enhancing understanding of system stability properties.

Findings

Defect diminishing implies linear stability.

Linear stability guarantees defect reduction at a linear rate.

Theoretical framework connecting defect properties and stability.

Abstract

We show that the defect diminishing is equivalent to the stability with linear rate.