Stability of coordination compound in solution means the degree of association between the species involved in the state of equilibrium. Stronger is the metal-ligand bond, less is the dissociation in solution, more is the stability. Stability can be expressed quantitatively in terms of stability constant.
M+3L⟶ML3
Stability constant = ML3[M][L3]
The factors which govern the stability of complexes are:
Macrocyclic effect
Basic strength
Size and charge of ligands.