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Journals / Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik / 2017 / Cilt: 18 - Sayı: 4

AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS

Mehmet AKAR
Özlem Feyza ERKAN
Pages
842–849
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Theoretical results are verified by numerical simulations

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the multi-equilibria consensus problem for a time-varying network of n agents where the agents are modeled as integrators.
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Key Findings & Data:Instead of the joint connectivity condition which is widely used in the literature, we propose an integral K connectivity condition that allows us to examine the network through a constant matrix.
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Conclusion & Impact:Theoretical results are verified by numerical simulations
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we study the multi-equilibria consensus problem for a time-varying network of n agents where the agents are modeled as integrators. Instead of the joint connectivity condition which is widely used in the literature, we propose an integral K connectivity condition that allows us to examine the network through a constant matrix. Based on this new concept, we present necessary and sufficient conditions on networks modeled with undirected graphs so that multiequilibrium consensus states are achieved. Theoretical results are verified by numerical simulations

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Cite This Article

AKAR, M., ERKAN, Ö. F. (2022). AN INTEGRAL CONNECTIVITY CONDITION FOR MULTI-EQUILIBRIA CONSENSUS IN NETWORKS EVOLVING OVER UNDIRECTED GRAPHS. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 18 - Sayı: 4, 842–849. https://ajindex.com/articles/438256

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