Document connecting initial state values to phases.

[robfalck]

Issue Type

• Bug
• Enhancement
• Docs
• Miscellaneous

Description

The documentation here works, but is only one way to do this. We should document use of connected_initial states to connect the initial state value to the phase and have it be satisfied by the StateIndependentsComp.

While we're at it, make the Dymos API consistent and refer to this option as input_initial, and deprecate connected_initial. While technically this isn't quite an input, it has that functionality from the user perspective.

Example

Use the same example present, but set the connected_initial property of state to True.

https://openmdao.github.io/dymos/examples/brachistochrone/brachistochrone_upstream_states.html

Environment

N/A