H∞ synchronization of coupled delay partial differential systems via nonsingular transformation method

This paper considers the H∞ synchronization of coupled delay partial differential systems (PDSs). By using the nonsingular transformation method, the coupled systems are decoupled to simplify the complex H∞ synchronization problem of coupled delay PDSs. The equivalence of the H∞ synchronization for...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 39; no. 16; pp. 4646 - 4654
Main Authors Wu, Kai-Ning, Li, Chang-Xi, Wang, Xinsheng, Chen, Bor-Sen
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.08.2015
Subjects
[formula omitted] synchronization
Delay
Nonsingular transformation
Partial differential systems
Delay
Partial differential systems
H∞ synchronization
Nonsingular transformation
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Summary:This paper considers the H∞ synchronization of coupled delay partial differential systems (PDSs). By using the nonsingular transformation method, the coupled systems are decoupled to simplify the complex H∞ synchronization problem of coupled delay PDSs. The equivalence of the H∞ synchronization for original coupled delay PDSs and the H∞ stabilization of transformed decoupled delay PDSs is rigorously verified. Sufficient conditions are obtained to guarantee the H∞ synchronization. These sufficient conditions also reflect the effect of spatial domain on the H∞ synchronization. Moreover, when the external disturbances disappear, the asymptotical synchronization is studied. The relationship between the H∞ synchronization and the asymptotical synchronization is also presented. At last, an example is given to illustrate the correctness of our results.
ISSN:0307-904X
DOI:10.1016/j.apm.2015.03.062