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Robust \({H_\infty }\) synchronization of chaotic systems with unmatched disturbance and time-delay

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Abstract

This paper deals with master-slave robust \({H_\infty }\) synchronization of identical chaotic systems with the disturbance and time-delay via state feedback control, but the uncertain disturbance of the slave system is different from the master system. The sufficient conditions for achieving synchronization of two chaotic systems are derived on the basis of the Lyapunov theory and the linear matrix inequality technique, which is not only to guarantee the asymptotic synchronization but also to attenuate the effects of the perturbation on the overall error system to a prescribed level. Finally, an illustrative numerical simulation is also given to demonstrate the effectiveness of the proposed scheme.

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Acknowledgments

This work is partially supported by the National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei Province (No. F201403085).

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Authors and Affiliations

  1. College of Science, Yanshan University, Qinhuangdao, 066004, Hebei, People’s Republic of China

    Yuechao Ma & Yanhui Jing

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  1. Yuechao Ma
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  2. Yanhui Jing
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Corresponding author

Correspondence to Yanhui Jing.

Additional information

Project supported by National Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei Province (No. F201403085).

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Ma, Y., Jing, Y. Robust \({H_\infty }\) synchronization of chaotic systems with unmatched disturbance and time-delay. Int. J. Mach. Learn. & Cyber. 8, 929–939 (2017). https://doi.org/10.1007/s13042-015-0468-9

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  • DOI: https://doi.org/10.1007/s13042-015-0468-9

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