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Sampled-data [formula omitted] exponential synchronization for delayed semi-Markov jump CDNs: A looped-functional approach.
- Source :
-
Applied Mathematics & Computation . Jul2020, Vol. 377, pN.PAG-N.PAG. 1p. - Publication Year :
- 2020
-
Abstract
- • A novel Lyapunov–Krasovskii functional with a looped-functional is constructed % t k + 1 . • A more general inequality is utilized to process the integral with a derivative of the state variable. • An % H ∞ performance index is raised to deal with the control problem for sMJCDNs. This paper investigates the H ∞ exponential synchronization problem of delayed semi-Markov jump complex dynamical networks by utilizing the sampled-data control scheme. Through introducing a semi-Markov jump model, where the transition rate is related to the sojourn time, the addressed issue is therefore more general. By constructing a suitable Lyapunov–Krasovskii functional with a looped-functional and adopting an advanced inequality method, sufficient conditions for the H ∞ exponential synchronization of delayed semi-Markov jump complex dynamical networks are presented. A numerical example is finally employed to confirm the validity of the proposed method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYNCHRONIZATION
*CONTENT delivery networks
*JUMP processes
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 377
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 142560652
- Full Text :
- https://doi.org/10.1016/j.amc.2020.125156