Step 1: The clue 'alpha-2 agonist' narrows the field to drugs sharing clonidine-like central action.
Step 2: Tizanidine fits exactly: it stimulates central alpha-2 receptors, cutting the release of excitatory amino acids in spinal interneurons and boosting inhibitory glycine signaling.
Step 3: The net result is reduced spasticity and fewer painful spasms while preserving voluntary strength, which is why it is favored in neurological spasticity.
Step 4: Diazepam (GABAergic), bromocriptine (dopaminergic), and methocarbamol (non-adrenergic central relaxant) do not match the alpha-2 mechanism.
\[\boxed{\text{Tizanidine}}\]