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Stabilization for multi-group coupled stochastic models by delay feedback control and nonlinear impulsive control

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Abstract

Stabilization for multi-group coupled models stochastic by delay feedback control and nonlinear impulsive control are considered in this paper. Using graph theory and Lyapunov method, some sufficient conditions are acquired by some control methods. Those criteria are easier to verify and no need to solve any linear matrix inequalities. These results can be designed more easily in practice. At last, the effectiveness and advantage of the theoretical results are verified by an example.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grants Nos. 61573156, 61273126, 61503142, 11372107), Fundamental Research Funds for the Central Universities (Grant No. x2zdD2153620), Ph.D. Start-up Fund of Natural Science Foundation of Guangdong Province (Grant No. 2014A030310388), and Science and Technology Plan Foundation of Guangzhou (Grant No. 201704030131).

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Correspondence to Feiqi Deng.

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Zhang, C., Deng, F. & Luo, Y. Stabilization for multi-group coupled stochastic models by delay feedback control and nonlinear impulsive control. Sci. China Inf. Sci. 61, 70212 (2018). https://doi.org/10.1007/s11432-017-9281-3

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Keywords

  • stabilization
  • graph theory
  • stochastic
  • impulsive
  • delay