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Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler’s Lemma
Joint Authors
Zhang, Shuang
Gong, Dawei
Lewis, Frank L.
Dai, Dong
Wang, Li-Ping
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The pinning synchronous problem for complex networks with interval delays is studied in this paper.
First, by using an inequality which is introduced from Newton-Leibniz formula, a new synchronization criterion is derived.
Second, combining Finsler’s Lemma with homogenous matrix, convergent linear matrix inequality (LMI) relaxations for synchronization analysis are proposed with matrix-valued coefficients.
Third, a new variable subintervals method is applied to expand the obtained results.
Different from previous results, the interval delays are divided into some subdelays, which can introduce more free weighting matrices.
Fourth, the results are shown as LMI, which can be easily analyzed or tested.
Finally, the stability of the networks is proved via Lyapunov’s stability theorem, and the simulation of the trajectory claims the practicality of the proposed pinning control.
American Psychological Association (APA)
Gong, Dawei& Lewis, Frank L.& Wang, Li-Ping& Dai, Dong& Zhang, Shuang. 2017. Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler’s Lemma. Complexity،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1142626
Modern Language Association (MLA)
Gong, Dawei…[et al.]. Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler’s Lemma. Complexity No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1142626
American Medical Association (AMA)
Gong, Dawei& Lewis, Frank L.& Wang, Li-Ping& Dai, Dong& Zhang, Shuang. Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler’s Lemma. Complexity. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1142626
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142626