Stability of distributed heterogeneous systems with static nonlinear   interconnections

doi:10.1016/j.sysconle.2010.08.004

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	Stability of distributed heterogeneous systems with static nonlinear interconnections
	Wen, Kai ; Geng, Zhiyong
刊名	系统与控制通讯
	2010
关键词	L-2 stability Distributed heterogeneous subsystems Nonlinear interconnection NETWORKS
DOI	10.1016/j.sysconle.2010.08.004
英文摘要	This paper studies the problem of L-2 stability of a system with distributed heterogeneous dynamic nodes (or subsystems) that are connected by static nonlinear links. Both the heterogeneities of the subsystems and the nonlinearities of the interconnections are considered. First, a sufficient and necessary condition is given, which shows the equivalence between the L-2 stability and an integral quadratic inequality defined by a specially structured operator. Then, under the assumption that the nonlinearities of the interconnections satisfy the sector conditions, an algebraic constraint on the interconnection is established. Based on this, a sufficient condition that the system is finite-gain L-2 stable is obtained. For the case of linear time invariant (LTI) subsystems, a frequency domain condition is given, which is numerically solvable by using the Kalman-Yakubovic-Popov (KYP) lemma. Finally, a numerical example is included to demonstrate the use of the results obtained. (C) 2010 Elsevier B.V. All rights reserved.; Automation & Control Systems; Operations Research & Management Science; SCI(E); 3; ARTICLE; 11; 680-686; 59
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/242176]
专题	工学院
推荐引用方式 GB/T 7714	Wen, Kai,Geng, Zhiyong. Stability of distributed heterogeneous systems with static nonlinear interconnections[J]. 系统与控制通讯,2010.
APA	Wen, Kai,&Geng, Zhiyong.(2010).Stability of distributed heterogeneous systems with static nonlinear interconnections.系统与控制通讯.
MLA	Wen, Kai,et al."Stability of distributed heterogeneous systems with static nonlinear interconnections".系统与控制通讯 (2010).