考虑线性不确定系统的鲁棒镇定问题，系统的不确定性由参数摄动和附加扰动组成．系统的参数摄动采用凸边界系统族的方法描述，给出了该系统可鲁棒δ镇定的一个充分条件，基于这个结果将不确定系统的鲁棒δ镇定问题转化为一个优化问题，并且进一步证明了该优化问题是凸的，因此其任何一个局部最优点也是全局最优点．算例说明了该方法的有效性． Considering the robust stabilization of linear uncertain systems, the system uncertainties consist of parameter perturbations and additional perturbations. The parameter perturbation of the system is described by the convex boundary system family method. A sufficient condition for the system to be robust δstability is given. Based on this result, the robust δstabilization problem of uncertain systems is transformed into an optimization problem. And further proves that the optimization problem is convex, so any one local optimal point is also the global optimal point. The example shows the effectiveness of this method.