I'd say this is a pretty stock Ryuukishi class -- yes, I refuse to call them Dragoons. Dragoons were British cavalry elite. The class from Final Fantasies III, IV, V, and IX was a Ryuukishi, a "Dragon Knight" in English. When they brought FFIV over here, not only did they make the mistake of calling it FF2, they also couldn't fit "Dragon Knight" into the character slot where the class names were, so they shortened it to "Dragoon."
*Point of history. Actually, there was a dragon knight in the real FFII as well, a chap by the name of Richard, but back then there weren't any special jump attacks, or classes for that matter, so it doesn't really count. Likewise, Edgar and Mog from FFVI could equip lances and an item called "Dragon Boots" to gain the jump attack; and Cid Highwind, from FFVII, used lances as his weapon and jump attacks for all his limit breaks. Only FFI and FFVIII really lacked dragoons (I think Kimiari in FFX even uses a jump attack as one of his Overdrives, but I can't remember).