CRONTAB - Summer/Winder Time-Change
One approach:
Have the system clock or at least cron run at UTC. UTC has no daylight savings time and you won’t have any issues.
(And like many utilities and tools allow : only convert from UTC to the time zone most relevant to a person in the presentation layer.)
A second consideration:
Cron is a time based scheduler. If you have real job dependencies you can’t really rely on cron to ensure they are met. If batch job B must always start after job A ; simply use a single batch job (with some more error checking and handling )
#!/bin/sh
/do/job-A
/do/job-B