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Modeling and stability analysis of autonomously controlled production networks

Titelangaben

Dashkovskiy, Sergey ; Görges, Michael ; Kosmykov, Michael ; Mironchenko, Andrii ; Naujok, Lars:
Modeling and stability analysis of autonomously controlled production networks.
In: Logistics Research. Bd. 3 (2011) Heft 2/3 . - S. 145-157.
ISSN 1865-0368
DOI: https://doi.org/10.1007/s12159-011-0049-6

Angaben zu Projekten

Projekttitel:
Offizieller Projekttitel
Projekt-ID
DFG Collaborative Research Centre 637 “Autonomous Cooperating Logistic Processes: A Paradigm Shift and its Limitations”
Ohne Angabe
Volkswagen Foundation Project “Stability, Robustness and Approximation of Dynamic Large-Scale Networks - Theory and Applications in Logistics Networks”
I/82684

Projektfinanzierung: Deutsche Forschungsgemeinschaft
VolkswagenStiftung

Abstract

We present methods and tools for modeling autonomously controlled production networks and investigation of their stability properties. Production networks are described as interconnected dynamical systems of two types: systems of ordinary differential equations and time-delay systems. In particular with the help of time-delays, we incorporate transportation times and implement an autonomous control method, namely the queue length estimator. By stability, we mean roughly speaking, boundedness of the state of a system (e.g., the inventory level or the work in progress) over the time under bounded external inputs. In our stability analysis, we consider the case, when all the subsystems describing logistics locations are stable. We derive sufficient conditions that guarantee stability of the network. To this end, we utilize Lyapunov functions and a small gain condition.

Weitere Angaben

Publikationsform: Artikel in einer Zeitschrift
Begutachteter Beitrag: Ja
Keywords: production networks; modeling; stability analysis; Lyapunov functions
Institutionen der Universität: Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik)
Profilfelder > Advanced Fields > Nichtlineare Dynamik
Forschungseinrichtungen > Zentrale wissenschaftliche Einrichtungen > Bayreuther Zentrum für Modellierung und Simulation (MODUS)
Titel an der UBT entstanden: Nein
Themengebiete aus DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Eingestellt am: 07 Mär 2025 08:37
Letzte Änderung: 07 Mär 2025 08:37
URI: https://eref.uni-bayreuth.de/id/eprint/92677