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	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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