The Cherry and Whites never panicked when they found themselves 16-12 down when Exeter hooker Simon Alcott scored the only try of a cracking match played on a slippery pitch and ending in pouring rain.
It was a hard-fought victory that left Hogg happy. The Scotsman said: "It was not a classic but there was lots of effort and lots of endeavour. You have two sides who have good characteristics and work ethic. It was a tight game that went back and forth but, in the last 20 minutes, we just managed to climb over the top of them."
Fly-half Gareth Steenson had booted three penalties and converted Alcott's try, when the front row man finished off a multi-phased move inside the home 22 to touch down near the posts.
By that time, home fly-half Freddie Burns had kicked four penalties but, as the last quarter arrived and Exeter gave away kickable penalties, the Bath-born number 10 landed two more penalties, the decisive one seven minutes from time that gave Gloucester a seventh league win of the campaign.
"The defining characteristic of our side this season is that we have real resilience," Hogg added. "That last 20 minutes when we were points down, we needed that in spadefuls. With the support behind us in a sell-out Kingsholm, we just had enough to do it."
Exeter Chiefs head coach Rob Baxter was animated with some of the decisions from referee Llyr Ap Geraint Roberts during the second half, but said he was pleased with his side who gained a losing bonus point as they now go into a mammoth mid-table clash next weekend with another West Country giant in Bath.
Baxter said: "I'm a bit disappointed that we didn't wrap the game up when we had the decisive moment of the match with the try. We created a little bit of daylight and we let Gloucester peg us back too easily.
"I said to the guys that one fixture never defines a season so to come here against an in-form Gloucester side and go away with a losing bonus point is still a very positive thing for us.
"We controlled some of the game but we didn't seem to get the rub of the green at times but that didn't stop us slipping bindings at scrums or making errors at line-out time. Those were errors we made which we have to stamp out if we want to come here and win."