The 41-year-old took charge of the Clarets this afternoon following a series of discussions with the club's board over the weekend.
Having watched his new side on a few occasions this season, Dyche has admitted that he has been impressed by the number of goals they have scored and the chances they have created.
"We want to stamp our own authority on things and give the players food for thought, but not change radically," Dyche told the club's official website. "We love the way the team attacks and we will definitely be using that to our advantage.
"It's fair to say I think it needs shoring up a bit and the framework the team uses needs tightening slightly, so we will be looking to effect that and hopefully continue to score a lot of goals. That's the aim."
Dyche's first game at the helm will be Saturday's home encounter against Wolverhampton Wanderers.