There are many dynamics that can work. Each D/s relationship can be whatever extent the 2 people want. From some scarves around wrists every few months in the bedroom, to 24/7.
In one of my relationships, we played in the bedroom, but there were also undercurrents in our daily lives. She had impulsiveness, anxiety, and lack of experience in life - that my advice, mentoring, and occasional swat on the behind (or raise of an eyebrow) helped to corral.
In some ways her actions warranted my reactions. But other times I just decided to do certain things with her body. Certainly, there were some hard limits, such as cutting, asphyxiation, permanent marks, anal play. And some softer limits (things that she was not ready for yet). We discussed both before anything physical ever happened with us, and I also brought some concepts up along the way to discuss.
There were hard limits that neither of us wanted to cross, other things that we were not into, and supposedly actions that she never wanted or thought about but we eventually did those.
The relationship was "molded" by both of us. I usually had more ideas about things. The "dom-ness" was more an attitude adopted by me, with her becoming observant to my requests.
She could always use the "yellow" safeword, to slow down my administrations of flogging, or "red" to end the scene.
In terms of control - is that control of a scene, the relationship? The scene is devised by either, directed by the Dom (lest the sub be labeled as "directing from the bottom"), for the mutual enjoyment of either. At the end of the scene, the two can discuss, either lovingly, or still in rolls, how it went. In a relationship - either party can bring it about (see post #11, @ron31401), and it depends on the dynamics about who comes up with the ideas. An action could stop or change with safe words (is that control, requests, or statement of a limit reached?).
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I, myself, become more encouraged by a willing sub, especially one who communicates those places that she wants to go in her mind. Does she "let" me do things, control the limits, ultimately refuse the things that she does not agree with? Do I demand things, tell her when she is wrong, mentor her misguided thoughts, punish when she disobeys (or just because).
I don't think that it is a matter of the Dom saying, "take it or leave it," or of the sub saying, "we're gonna do it this way, not that." It's an ebb and flow, of power yielded to the Dom, trying things on for size, and building the relationship together.