Nonfragile Robust H ∞ Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties
Joint Authors
Li, Dabin
Wang, Zicai
Ma, Guangfu
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper investigates the nonfragile H ∞ synchronization problem of complex dynamical networks with randomly occurring controller gain fluctuations and uncertainties.
These randomly occurring phenomena are described by independent stochastic variables satisfying Bernoulli distributions, which are adopted to model more realistic dynamical behaviors of the complex networks.
By applying the Lyapunov-Krasovskii method, delay-dependent criteria are established to ensure that the synchronization can be achieved with the prescribed H ∞ disturbance attenuation.
Moreover, the obtained results do not rely on the derivatives of time-varying delays.
A set of nonfragile controllers are further designed in terms of linear matrix inequality (LMI) approach.
Finally, a numerical example is given to illustrate the effectiveness of our theoretical results.
American Psychological Association (APA)
Li, Dabin& Wang, Zicai& Ma, Guangfu. 2015. Nonfragile Robust H ∞ Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073977
Modern Language Association (MLA)
Li, Dabin…[et al.]. Nonfragile Robust H ∞ Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties. Mathematical Problems in Engineering No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1073977
American Medical Association (AMA)
Li, Dabin& Wang, Zicai& Ma, Guangfu. Nonfragile Robust H ∞ Synchronization Approach for Drive-Response Complex Dynamical Networks with Randomly Occurring Controller Gain Fluctuations and Uncertainties. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1073977
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073977