Withdraw
Loading…
Monotone Dynamics in Network Control
Paganini, Fernando
Loading…
Permalink
https://hdl.handle.net/2142/130269
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.
Owning Collections
61st Allerton Conference - 2025 PRIMARY
Manage Files
Loading…
Edit Collection Membership
Loading…
Edit Metadata
Loading…
Edit Properties
Loading…
Embargoes
Loading…