Analysis and control of the jump modes behavior of 2-D singular systems - Part I: Structural stability

作者：Zou Yun; Wang Weiqun; Xu Shengyuan; Xie Lihua^*

来源：Systems & Control Letters, 2007, 56(1): 34-39.

DOI：10.1016/j.sysconle.2006.07.007

• 2-D systems
• discrete singular systems
• stability
• structural stability
• Lyapunov equation

This paper considers the problem of structural stability of 2-D singular systems. Firstly, some properties of structural stability of 2-D general singular systems are presented. Sufficient and necessary conditions for the structural stability of the 2-D singular systems are given. Then, by extending the Lyapunov approach for the structural stability of I-D continuous singular systems to the discrete case, a generalized Lyapunov equation approach to the analysis of the structural stability of 2-D singular Roesser models (2-D SRM) is proposed. The existence of a solution to the generalized Lyapunov equation gives a sufficient condition for the structural stability of the 2-D SRM.

• 出版日期2007-1
• 单位南京理工大学; 南阳理工学院