Global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays. (English) Zbl 1527.34118
Summary: This paper investigates the global bipartite synchronization of fractional-order time-varying coupled signed networks with proportional delays. A systematic approach is proposed by combining graph theory, the Lyapunov method, and the Razumikhin method. A Razumikhin-type theorem and a coefficient-type theorem are given, and thus several significant bipartite synchronization criteria related to both the order of fractional-order derivative and the proportionality factor are obtained. Besides, the results are applied to Chua’s circuits to reflect the availability of theoretical analysis. Finally, a numerical example is proposed to substantiate the effectiveness of theoretical results.
MSC:
| 34K24 | Synchronization of functional-differential equations |
| 34K37 | Functional-differential equations with fractional derivatives |
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 05C90 | Applications of graph theory |
| 34K20 | Stability theory of functional-differential equations |
Keywords:
proportional delays; fractional-order signed networks; global bipartite synchronization; time-varying couplingsReferences:
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