You have to use airflow trigger rules
All operators have a trigger_rule argument which defines the rule by which the generated task get triggered.
The trigger rule possibilities:
ALL_SUCCESS = 'all_success'
ALL_FAILED = 'all_failed'
ALL_DONE = 'all_done'
ONE_SUCCESS = 'one_success'
ONE_FAILED = 'one_failed'
DUMMY = 'dummy'
Here is the idea to solve your problem:
from airflow.operators.ssh_execute_operator import SSHExecuteOperator
from airflow.utils.trigger_rule import TriggerRule
from airflow.contrib.hooks import SSHHook
sshHook = SSHHook(conn_id=<YOUR CONNECTION ID FROM THE UI>)
task_1 = SSHExecuteOperator(
task_id='task_1',
bash_command=<YOUR COMMAND>,
ssh_hook=sshHook,
dag=dag)
task_2 = SSHExecuteOperator(
task_id='conditional_task',
bash_command=<YOUR COMMAND>,
ssh_hook=sshHook,
dag=dag)
task_2a = SSHExecuteOperator(
task_id='task_2a',
bash_command=<YOUR COMMAND>,
trigger_rule=TriggerRule.ALL_SUCCESS,
ssh_hook=sshHook,
dag=dag)
task_2b = SSHExecuteOperator(
task_id='task_2b',
bash_command=<YOUR COMMAND>,
trigger_rule=TriggerRule.ALL_FAILED,
ssh_hook=sshHook,
dag=dag)
task_3 = SSHExecuteOperator(
task_id='task_3',
bash_command=<YOUR COMMAND>,
trigger_rule=TriggerRule.ONE_SUCCESS,
ssh_hook=sshHook,
dag=dag)
task_2.set_upstream(task_1)
task_2a.set_upstream(task_2)
task_2b.set_upstream(task_2)
task_3.set_upstream(task_2a)
task_3.set_upstream(task_2b)