# On Classical Control and Smart Cities

## TL;DR

This paper explores how classical control theory can be applied to smart city systems, using iterated function systems to design controllers that ensure stability and predictability in large-scale agent populations.

## Contribution

It introduces a novel approach using iterated function systems to identify controllers suitable for large-scale, stable, and predictable smart city applications, highlighting limitations of classical controllers.

## Key findings

- Identifies controllers with desirable stability and regulation properties.
- Shows classical controllers may be unsuitable for large-scale smart city applications.
- Demonstrates the use of iterated function systems in controller design.

## Abstract

We discuss the applicability of classical control theory to problems in smart grids and smart cities. We use tools from iterated function systems to identify controllers with desirable properties. In particular, controllers are identified that can be used to design not only stable closed-loop systems, but also to regulate large-scale populations of agents in a predictable manner. We also illustrate by means of an example and associated theory that many classical controllers are not be suitable for deployment in these applications.