English

Controlling Complex Systems

Systems and Control 2025-07-01 v2 Systems and Control Optimization and Control

Abstract

This chapter provides a comprehensive overview of controlling collective behavior in complex systems comprising large ensembles of interacting dynamical agents. Building upon traditional control theory's foundation in individual systems, we introduce tools designed to address the unique challenges of coordinating networks that exhibit emergent phenomena, including consensus, synchronization, and pattern formation. We analyze how local agent interactions generate macroscopic behaviors and investigate the fundamental role of network topology in determining system dynamics. Inspired by natural systems, we emphasize control strategies that achieve global coordination through localized interventions while considering practical implementation challenges. The chapter concludes by presenting novel frameworks for managing very large agent ensembles and leveraging interacting networks for control purposes.

Keywords

Cite

@article{arxiv.2504.07579,
  title  = {Controlling Complex Systems},
  author = {Marco Coraggio and Davide Salzano and Mario di Bernardo},
  journal= {arXiv preprint arXiv:2504.07579},
  year   = {2025}
}