System Relaxation for Interpretable and Adaptive Network Control

Fuente: arXiv
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Autores principales: Ren, Zhiyuan, Shuai, Zhiliang, Cheng, Wenchi
Formato: Preprint
Publicado: 2025
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author Ren, Zhiyuan
Shuai, Zhiliang
Cheng, Wenchi
author_facet Ren, Zhiyuan
Shuai, Zhiliang
Cheng, Wenchi
contents Prevailing network control strategies, which rely on static shortest-path logic, suffer from catastrophic "stress concentration" on critical nodes. This paper introduces the System Relaxation Algorithm (SRA), a new control paradigm inspired by physical relaxation that guides a network toward an emergent equilibrium of load balance. SRA is an interpretable, 'white-box' dynamical system whose behavior is profoundly topology-dependent: in heterogeneous networks, it acts as a proactive performance optimizer, reducing peak centrality by over 80\% and increasing high-load throughput by more than 45\%; in homogeneous topologies, its objective intelligently shifts to resilience enhancement. We rigorously prove its global convergence and practical stability using the theory of non-smooth dynamical systems, establishing a predictable paradigm for network governance that intelligently trades off performance and resilience.
format Preprint
id arxiv_https___arxiv_org_abs_2509_16984
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle System Relaxation for Interpretable and Adaptive Network Control
Ren, Zhiyuan
Shuai, Zhiliang
Cheng, Wenchi
Networking and Internet Architecture
Systems and Control
Prevailing network control strategies, which rely on static shortest-path logic, suffer from catastrophic "stress concentration" on critical nodes. This paper introduces the System Relaxation Algorithm (SRA), a new control paradigm inspired by physical relaxation that guides a network toward an emergent equilibrium of load balance. SRA is an interpretable, 'white-box' dynamical system whose behavior is profoundly topology-dependent: in heterogeneous networks, it acts as a proactive performance optimizer, reducing peak centrality by over 80\% and increasing high-load throughput by more than 45\%; in homogeneous topologies, its objective intelligently shifts to resilience enhancement. We rigorously prove its global convergence and practical stability using the theory of non-smooth dynamical systems, establishing a predictable paradigm for network governance that intelligently trades off performance and resilience.
title System Relaxation for Interpretable and Adaptive Network Control
topic Networking and Internet Architecture
Systems and Control
url https://arxiv.org/abs/2509.16984