A note on finite-time and fixed-time stability
Wenlian Lu, Xiwei Liu, Tianping Chen
TL;DR
This paper explores the fundamental nature of finite-time and fixed-time stability by framing it as an inverse problem, providing necessary and sufficient conditions, and introducing a new approach for synchronization and consensus.
Contribution
It presents a novel perspective on finite-time stability as an inverse problem and offers a general approach applicable to existing results.
Findings
Revealed the essence of finite-time and fixed-time stability.
Provided necessary and sufficient conditions for stability.
Introduced a new approach for synchronization and consensus.
Abstract
In this letter, by regarding finite-time stability as an inverse problem, we reveal the essence of finite-time stability and fixed-time stability. Some necessary and sufficient conditions are given. As application, we give a new approach for finite-time and fixed-time synchronization and consensus. Many existing results can be derived by the general approach.
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Taxonomy
TopicsDistributed Control Multi-Agent Systems · Neural Networks Stability and Synchronization · Stability and Control of Uncertain Systems