NDLI: Analysis and control of large scale networks, the Davis-Wielandt shell and graph separation

Content Provider	IEEE Xplore Digital Library
Author	Lestas, I.
Copyright Year	2010
Description	Author affiliation: Department of Engineering, University of Cambridge, CB2 1PZ, UK (Lestas, I.)
Abstract	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.
Starting Page	5726
Ending Page	5731
File Size	283789
Page Count	6
File Format	PDF
ISBN	9781424477456
ISSN	07431546
e-ISBN	9781424477463
DOI	10.1109/CDC.2010.5717321
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-15
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability criteria Transfer functions Numerical stability Eigenvalues and eigenfunctions Hilbert space Algebra robust control control of network complex systems decentralized control large scale systems
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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