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). |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论