List in chronological order the three french governments

Depending on where you want to begin your charting, there are more than three.

France government was under the control of the king up until the French Revolution.

The delegates of the 3rd Estate proclaimed themselves the National Assembly in 1789, and ultimately forced the king (Louis XVI) into a constitutional monarchy relationship.

In September, 1792, France declared itself a republic (now referred to as the First Republic) and the king was removed from office.  (He later was executed.)

During the Reign of Terror (1793-94), the Committee of Public Safety under the leadership of Robespierre controlled the government.

After that tumultuous period, France was under a 5-man committee known as the Directory (1795-99). 

Napoleon then came to power in the Consulate government (1799-1804), after which he proclaimed himself emperor of the French Empire (1804-1814).

... We could go further to the period after the Revolution and Napoleon, but I'm assuming your question perhaps pertained to the Revolution era.

Hoped he would accept their demands and end the violence