Fast Spread in Controlled Evolutionary Dynamics

Lorenzo Zino, Giacomo Como, Fabio Fagnani

Research output: Contribution to journalArticlepeer-review

Abstract

We study a controlled evolutionary dynamics that models the spread of a novel state in a network where the exogenous control aims to quickly spread the novel state. We estimate the performance of the system by analytically establishing upper and lower bounds on the expected time needed for the novel state to replace the original one. Such bounds are expressed as functions of the control policy adopted and of the network structure, and establish fundamental limitations on the system's performance. Leveraging these results, we classify network structures depending on the possibility of achieving a fast spread of the novel state (i.e., complete replacement in a time growing logarithmically with the network size) using simple open-loop control policies. Finally, we propose a feedback control policy that using little knowledge of the network and of the system's evolution at a macroscopic level, allows for a substantial speed up of the spreading process, guaranteeing fast spread on topologies where simple open-loop control policies are not sufficient. Examples and simulations corroborate our findings.

Original languageEnglish
Pages (from-to)1555-1567
Number of pages13
JournalIEEE Transactions on Control of Network Systems
Volume10
Issue number3
DOIs
Publication statusPublished - 2023 Sept 1

Subject classification (UKÄ)

  • Control Engineering

Free keywords

  • Diffusion of innovation
  • evolutionary dynamics
  • feedback control
  • network systems
  • spreading processes

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