Local H∞ synchronization of uncertain complex networks via non-fragile state feedback control

Yiping Luo, Fei Deng, Zhaomin Ling and Zifeng Cheng

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 155, issue C, 335-346

Abstract: This paper is concerned with local H∞ synchronization control of uncertain complex networks, in which there are nonlinear coupling functions between network nodes, and the coupling terms as well as network nodes are subject to time-varying delays. In order to make a complex network achieve H∞ synchronization, a non-fragile state feedback control scheme is used. By employing the Lyapunov functional method, a sufficient condition on the existence of H∞ non-fragile controllers is derived. This condition can not only guarantee the asymptotic stability of each network node, but also ensure a prescribed robust H∞ performance level for the synchronization error system under study. The effectiveness of the proposed method is finally verified through a numerical example.

Keywords: Complex dynamic networks; Non-fragile control; H∞ synchronization; Lyapunov–Krasovskii functional (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:155:y:2019:i:c:p:335-346

DOI: 10.1016/j.matcom.2018.07.009

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