On the ergodic control of ensembles

DOI10.1016/j.automatica.2019.06.035arXiv1807.03256OpenAlexW2866869936WikidataQ127483726 ScholiaQ127483726MaRDI QIDQ6200691

André Ricardo Fioravanti, Robert N. Shorten, Fabian R. Wirth, Jakub Mareček, Matheus Souza

Publication date: 20 February 2024

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.03256

zbMATH Keywords

transportationoutput regulationstochastic controlPID controlstochastic modellingelectric power systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Linear systems in control theory (93C05) Stochastic systems in control theory (general) (93E03) Multi-agent systems (93A16)

Cites Work

• Unnamed Item
• Unnamed Item
• Metrics for ergodicity and design of ergodic dynamics for multi-agent systems
• Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Recurrent iterated function systems
• Locally contractive iterated function systems
• Markov chains in random environments and random iterated function systems
• Signalling and obfuscation for congestion control
• A survey of average contractive iterated function systems
• r-extreme signalling for congestion control
• Online Learning and Online Convex Optimization
• Invariance principles for iterated maps that contract on average
• An ergodic theorem for iterated maps
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Ergodic theorem for contractive Markov systems
• CONTRACTIVE MARKOV SYSTEMS
• Invariant measures for Markov operators with application to function systems
• Distributed Subgradient Methods for Multi-Agent Optimization
• On QUAD, Lipschitz, and Contracting Vector Fields for Consensus and Synchronization of Networks
• On Iterated Function Systems with place-dependent probabilities

This page was built for publication: On the ergodic control of ensembles