Zettelkasten/Permanent Notes/20260109155415-timed-automata.md
2026-02-06 20:19:24 -05:00

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---
id: 20260109155415
title: Timed Automata
type: permanent
created: 2026-01-09T20:54:15Z
modified: 2026-01-09T21:13:51Z
tags: []
---
# Timed Automata
Timed automata are linear hybrid automata with the
special condition that every continuously changing variable
is a *clock*. That means that every variable varies one to
one with time, just counting time.
Timed automata have invariants and guards that compare time
only with constants. There are no other continuous dynamics
here.
An example of a timed automata is something like an alarm.
Easy peasy, is time greater or less than a value. If it is,
trigger the alarm! One might also have a constant setting
whether or not an alarm is 'enabled'. But, there's no other
dynamics than time itself.
## Relevant Sources
[[hybrid-automata-an-algorithmic-approach-to-the-specification-and-verification-of-hybrid-systems]]