For the different prioritization problem of objective functions, a multi-objectives model predictive control scheme
with guaranteed stability is proposed for constrained multi-variables linear invariant-time systems. Firstly, some results on
lexicographic optimal solutions on the multi-objectives predictive control problem are given based on the multi-objective
optimization theory. Then the multi-objectives predictive control problem is reformulated as the lexicographic one that is
able to deal with the different prioritization of objective functions. Then, ingredients of terminal constraints, terminal penalty
functions and local state feedback laws are used to prove the asymptotical stability of the multi-objectives predictive control
closed-loop system. Finally, a simulation example is exploited to illustrate the effectiveness of the results obtained.