The type of tissue that is involuntarily controlled and has branching striated cells is cardiac muscle tissue.

Here's why:

* Involuntary control: Cardiac muscle contracts without conscious effort, regulated by the autonomic nervous system and internal pacemakers.

* Branching cells: Cardiac muscle cells are interconnected by specialized junctions called intercalated discs, allowing for coordinated contraction.

* Striated: Like skeletal muscle, cardiac muscle has a striated appearance due to the arrangement of contractile proteins (actin and myosin).

Let me know if you'd like to know more about cardiac muscle!