Exponential synchronization of stochastic coupled oscillators networks with delays |
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| Authors: | Chunmei Zhang Ke Wang |
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| Institution: | 1. School of Mathematics, Southwest Jiaotong University, Chengdu, China.;2. Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, China.;3. Department of Mathematics, University of Illinois, Urbana, IL, USA.;4. Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, China. |
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| 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. |
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| Keywords: | Exponential synchronization stochastic coupled oscillators network time-varying delay graph theory |
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