Actuation speaking seeks to get people to act, to perform in some way. In practice this can be easy for simple actions and hardest of all for actions that the person may not normally undertake. In this way, actuation speaking can be considered to be the ultimate in persuasive speaking.
In its more difficult form, actuation may well be preceded by other forms of speaking, as you ay need people to understand, agree with a judgment and even change what they believe before they will take the actions you propose.
To conclude our example, academics engage in actuation speaking when they persuade those holding the purse strings to provide the precious cash that is needed to pursue their research.