Monotone Dynamics in Network Control

Paganini, Fernando

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https://hdl.handle.net/2142/130269 Copy

Description

Title

Monotone Dynamics in Network Control

Author(s)

Paganini, Fernando

Issue Date

2025-09-17

Keyword(s)

• Monotone systems
• Network control
• Load balancing

Abstract

Monotone dynamical systems, which preserve a partial ordering on the states, have a long history; their theory may provide a path to analyzing network control systems, distinct from the more standard methods of optimization or Lyapunov-based control. In this note, after a brief review of some of the main concepts in monotone systems, we survey a series of problems in network control which are amenable to this approach. Using ordinary differential equations, the method applies to dynamic consensus, cooperative load balancing and scheduling of a fixed set of queues, and certain capacity-scaled models of peer-to-peer file sharing. Other applications which require monotonicity in infinite dimensions, are indicated as partially open in this approach: load balancing in the regime of a large number of queues, and transport PDE models for queues under general file-size distributions.

Publisher

Allerton Conference on Communication, Control, and Computing

Series/Report Name or Number

2025 61st Allerton Conference on Communication, Control, and Computing Proceedings

ISSN

2836-4503

Type of Resource

Text

Genre of Resource

Conference Paper/Presentation

Language

eng

Handle URL

https://hdl.handle.net/2142/130269&&

Copyright and License Information

Copyright 2025 is held by Fernando Paganini.

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