Stability analysis of a class of multidimensional systems | |
Chu, TG ; Zhang, CS ; Xie, LH ; Soh, YC | |
2003 | |
关键词 | comparison principle discrete time exponential stability multidimensional systems LYAPUNOV EQUATION MODEL |
英文摘要 | This paper analyzes the stability of a class of discrete linear multidimensional (MD) systems, whose solutions are path dependent and may not be uniquely specified by initial conditions. Based on the concept of solvable Lie algebra and a new comparison principle, it presents a simple necessary and sufficient condition for exponential stability of the MD systems in terms of the spectral radius of the system matrices. This extends a previous result based on the pairwise commutativity of the system matrices. A numerical example is given to illustrate the present result.; Automation & Control Systems; CPCI-S(ISTP); 0 |
语种 | 英语 |
内容类型 | 会议论文 |
源URL | [http://ir.pku.edu.cn/handle/20.500.11897/406967] ![]() |
专题 | 工学院 |
推荐引用方式 GB/T 7714 | Chu, TG,Zhang, CS,Xie, LH,et al. Stability analysis of a class of multidimensional systems[C]. 见:. |
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