This paper presents some sufficient criterions for stabile switching of weighted multiple linear systems whose
control performances are considered during switched process. By these criterions, the weighting regions can be obtained
quickly. Meanwhile, the value of weighting factors of every switched sub-system can be assured to make smoothly
switch. All these criterions deal with the restrictive condition of vector field commute. Some control simulations on AUV
(autonomous underwater vehicle) different motions control are performed by using the proposed switched control algorithm.
Simulation results show that the preset weight values by presented criterions can ensure the stability of multi-model
switching.