摘要
双线性广义系统的稳定性研究具有广泛的实际意义,基于李亚普诺夫方程,研究了广义双线性系统平衡点稳定的问题。用李亚普诺夫方法研究了双线性广义系统的结构稳定问题,在此基础上,得到了这类双线性系统结构稳定和李亚普诺夫方程的解的关系。给出了这类双线性广义系统结构稳定的充要条件。
It is of practical importance to study the structural stability of bilinear generalized system.Based on Lyapunov equation,the stability of balance point of bilinear generalized system was studied.Lyapunov criteria were used to study their structural stability, thus obtaining the relationship between the stability of these systems and the solution to Lyapunov equation.The sufficient and necessary conditions were given to the structural stability of these bilinear generalized systems.
出处
《鞍山科技大学学报》
CAS
2005年第3期228-230,共3页
Journal of Anshan University of Science and Technology
关键词
双线性广义系统
正则
李亚普诺夫方程
结构稳定
bilinear generalized system
regular
Lyapunov equation
structural stability
