In debating terminology, 'This House' refers to this government.
For example, in the motion, "This House believes that the death penalty should be abolished", it is saying that the government believes the death penalty should be abolished. When debating, teams continuously refer to the term 'This House' or 'on our side of the House'.
Yes, the House of Representatives have limited debate.
what action can a member of the house take to close debate
No, the speaker does not have to be a member of the house in order to participate in the debate.
House of Representatives
motion to end debate
USA, some debate Chicago others debate Detroit.
The House Rules Committee places the bill on a calendar for floor debate in the House or the Senate.
House
In the UK he is called the Speaker of the House of Commons.
few limits on debate.
If someone set the length of the floor debate, it would be the Speaker of the House.
It is the United States House Committee on Rules that governs floor debate. It is often referred to simply as the Rules Committee.