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On robust control algorithms for nonlinear network consensus protocols
Author(s) -
Hui Qing,
Haddad Wassim M.,
Bhat Sanjay P.
Publication year - 2010
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1426
Subject(s) - robustness (evolution) , computer science , nonlinear system , robust control , consensus algorithm , scaling , algorithm , control theory (sociology) , mathematical optimization , mathematics , control (management) , artificial intelligence , biochemistry , chemistry , physics , geometry , quantum mechanics , gene
Even though many consensus protocol algorithms have been developed over the last several years in the literature, robustness properties of these algorithms involving nonlinear dynamics have been largely ignored. Robustness here refers to sensitivity of the control algorithm achieving semistability and consensus in the face of model uncertainty. In this paper, we examine the robustness of several control algorithms for network consensus protocols with information model uncertainty of a specified structure. In particular, we develop sufficient conditions for robust stability of control protocol functions involving higher‐order perturbation terms that scale in a consistent fashion with respect to a scaling operation on an underlying space with the additional property that the protocol functions can be written as a sum of functions, each homogeneous with respect to a fixed scaling operation, that retain system semistability and consensus. Copyright © 2009 John Wiley & Sons, Ltd.

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