The issue of dynamic stability decision-making of senior talents system is studied by using modern robust control theory and linear matrix inequality approach. A class of linear uncertain time-varying dynamic model of tal2 ents is established , some existing basis are also discussed. Some criteria of robust stability and robust decision2mak2 ing of senior talents systems are put forward. Its significance in particular conditions are presented. Finally , an ex2 ample is given to illustrate the validity of our results.