Abstract
In this paper, fast fixed-time (FDT) synchronization of T–S fuzzy (TSF) complex networks (CNs) is considered. The given control schemes can make the CNs synchronize with the given isolated system more fleetly than the most of existing results. By constructing comparison system and applying new analytical techniques, sufficient conditions are established to derive fast FDT synchronization speedily. In order to give some comparisons, FDT synchronization of the considered CNs is also presented by designing FDT fuzzy controller. Numerical examples are given to illustrate our new results.
Highlights
There is a rapidly growing interests of fuzzy systems, and many papers have investigated fuzzy systems, for example, [19, 20] and so on
Some researchers have paid their attention to T–S fuzzy (TSF) system [6, 10, 24], which is proposed by Takagi and Sugeno [18]
Note that the TSF complex networks (CNs) can combine the advantage of TSF system and CNs, much attention has been paid to TSF CNs [7, 17, 21, 23, 35]
Summary
There is a rapidly growing interests of fuzzy systems, and many papers have investigated fuzzy systems, for example, [19, 20] and so on. Note that the settling time of FET synchronization is not stationary if the initial states of systems are not same. In order to improve convergence rate, the authors presented fast FDT control techniques in [14,28, 38]. Motivated by these fast control ideas, this paper designs new control schemes, which have advantages in convergence rate over many existing results of FDT control. Fast fixed-time synchronization of T–S fuzzy complex networks which can realize fast FDT synchronization more rapidly; (ii) the TSF CNs and TSF control are considered; (iii) a suitable comparison system is constructed; (iv) fast FDT synchronization criteria are derived. Some comparisons are presented to show the differences between the fast FDT synchronization criteria established in this paper and the FDT synchronization criteria of this paper and previous papers
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