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Impulsive control and synchronization of nonlinear system with impulse time window

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Abstract

In this paper, the issue on impulsive control and synchronization of nonlinear system with impulse time window are investigated. The considered impulsive effects can be stochastically occurred at a determined time window. Hence, the impulses here can be more general and more applicable than the fixed impulses. Some novel and easy-to-check criteria with impulse time window are obtained to guarantee the impulsive control and synchronization global asymptotical stable. Especially, on the basis of the our analysis, we only choose an efficient impulse time window instead of choosing fixed-impulse sequences. Finally, the simulation results further demonstrate the effectiveness of our theoretical results.

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Acknowledgments

This publication was made possible by NPRP Grant # NPRP 4-1162-1-181 from the Qatar National Research Fund (a member of Qatar Foundation). The statements made herein are solely the responsibility of the authors. This work was also supported by Natural Science Foundation of China (Grant No: 61374078).

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Authors and Affiliations

  1. College of Computer Science, Chongqing University, Chongqing, 400044, China

    Xin Wang & Chuandong Li

  2. Texas A & M University at Qatar, Doha, 23874, Qatar

    Tingwen Huang

  3. Department of Physics and Information Science, Liuzhou Teachers College, Liuzhou, 545004, People’s Republic of China

    Xiaoming Pan

Authors
  1. Xin Wang
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  2. Chuandong Li
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  3. Tingwen Huang
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  4. Xiaoming Pan
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Correspondence to Chuandong Li.

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Wang, X., Li, C., Huang, T. et al. Impulsive control and synchronization of nonlinear system with impulse time window. Nonlinear Dyn 78, 2837–2845 (2014). https://doi.org/10.1007/s11071-014-1629-1

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  • DOI: https://doi.org/10.1007/s11071-014-1629-1

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