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Exponential synchronization of stochastic coupled oscillators networks with delays

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This paper investigates the exponential synchronization problem of coupled oscillators networks with disturbances and time-varying delays. On basis of graph theory and stochastic analysis theory, a feedback control law is… Click to show full abstract

This paper investigates the exponential synchronization problem of coupled oscillators networks with disturbances and time-varying delays. On basis of graph theory and stochastic analysis theory, a feedback control law is designed to achieve exponential synchronization. By constructing a global Lyapunov function for error network, both pth moment exponential synchronization and almost sure exponential synchronization of drive-response networks are obtained. Finally, a numerical example is given to show the effectiveness of the proposed criteria.

Keywords: synchronization stochastic; coupled oscillators; oscillators networks; synchronization; stochastic coupled; exponential synchronization

Journal Title: Applicable Analysis
Year Published: 2017

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