一类时不变双线性系统的可镇定条件

摘要

讨论了一类时不变双线性系统的状态反馈镇定问题.利用系统矩阵线性无关的特征向量,给出了双线性系统的状态反馈控制器设计方法,并且,通过分析一个特定的二次方程组的唯一性,讨论了双线性系统的可镇定条件.%We deal with state feedback stabiliza tion of a class of bilinear time-invariant systems. Using the linearly independ ent eigenvectors of system matrix, we propose a designing method of state feedback controller for BLS (Bilinear Systems). By analyzing the uniqueness of solutions to the given quadratic equations, asymptotic stability for bilinear systems is discussed.