Confused about title of a state and concurrency representation in state machine diagram

Question

My object can be at different states at time according to its variables. So, I decided to put these possible states into a global composite state with concurrency notation. The object can only be at one of the each couple of states shown above -at the same time-. So, it can never be at any state other than that global state. How should I title it? Or should there has been some other solution?

Answer 1

Yes, there is another solution. The statemachine itself can have multiple regions. So, there is no need to define a global state. The UML specification clearly allows this:

14.2.4.3 Region

A composite State or StateMachine with Regions is shown by tiling the graph Region of the State/StateMachine using dashed lines to divide it into Regions.

Unfortunately, the tools I know don't support more than one region in a statemachine. As a workaround I would give the superfluous global state the same name as the statemachine.