Analysis and control of the jump modes behavior of 2-D singular systems—Part I: Structural stability |
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| Authors: | Yun Zou Weiqun Wang Shengyuan Xu Lihua Xie |
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| Affiliation: | aDepartment of Automation, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China;bDepartment of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China;cSchool of Electrical and Electronic Engineering, BLK S2, Nanyang Technological University, Singapore 63978, Singapore |
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| Abstract: | 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 1-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. |
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| Keywords: | 2-D Systems Discrete singular systems Stability Structural stability Lyapunov equation |
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