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Large scale heterogeneous networks, the Davis-Wielandt shell, and graph separation

Lestas, I (2012) Large scale heterogeneous networks, the Davis-Wielandt shell, and graph separation. SIAM Journal on Control and Optimization, 50. pp. 1753-1774. ISSN 0363-0129

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We consider a large scale network of interconnected heterogeneous dynamical components. Scalable stability conditions are derived that involve the input/output properties of individual subsystems and the interconnection matrix. The analysis is based on the Davis-Wielandt shell, a higher dimensional version of the numerical range with important convexity properties. This can be used to allow heterogeneity in the agent dynamics while relaxing normality and symmetry assumptions on the interconnection matrix. The results include small gain and passivity approaches as special cases, with the three dimensional shell shown to be inherently connected with corresponding graph separation arguments. © 2012 Society for Industrial and Applied Mathematics.

Item Type: Article
Uncontrolled Keywords: Complex systems Decentralized control Large scale systems Network analysis and control
Depositing User: Cron job
Date Deposited: 04 Feb 2015 22:12
Last Modified: 01 May 2015 18:42
DOI: 10.1137/100813609