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Stochastic consensus control with finite frequency specification for Markov jump networks
Author(s) -
Luan Xiaoli,
Zhou Chaojie,
Ding Zhengtao,
Liu Fei
Publication year - 2015
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.3492
Subject(s) - markov chain , jump , control theory (sociology) , generality , laplacian matrix , computer science , protocol (science) , transformation (genetics) , network topology , markov process , mathematics , frequency band , mathematical optimization , topology (electrical circuits) , control (management) , theoretical computer science , bandwidth (computing) , telecommunications , computer network , artificial intelligence , economics , statistics , alternative medicine , graph , chemistry , pathology , biochemistry , management , quantum mechanics , machine learning , medicine , physics , combinatorics , gene
Summary A stochastic finite frequency consensus protocol for directed networks with Markov jump topologies and external disturbances is proposed in this paper. By introducing the frequency band information into consensus control design, the disagreement dynamics of interconnected networks asymptotically converge to zero with an improved level of disturbance attenuation in the specific frequency band. In addition, the new model transformation approach is presented by exploring certain features of Laplacian matrix in real Jordan form, which leads to more generality of the designed protocol. A numerical example validates the potential of the developed results. Copyright © 2015 John Wiley & Sons, Ltd.