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Exponential Synchronization of Delayed Switching Genetic Oscillator Networks via Mode-Dependent Partial Impulsive Control

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Abstract

This paper investigates the global exponential synchronization problem of switching genetic oscillator networks with time-varying delays by using a newly-designed partial impulsive control scheme. This scheme is only required to control partial molecules of each gene node, different from the traditional pinning impulsive control scheme, in which all the molecules of the chosen nodes are assumed to be under control. Besides, both the number of controlled molecules and the impulsive strength of the presented control scheme are mode-dependent, either identical or different with respect to different topologies. Based on the Lyapunov stability theory and comparison principle, the sufficient criteria for guaranteeing the exponential synchronization of genetic oscillator networks with finite arbitrarily switching topologies are established. Finally, two illustrative examples are presented to verify the main results.

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Acknowledgements

The authors would like to express their sincere gratitude to Fuyan Hu for helpful mathematics discussion, and also thank all reviewers and editors for their professional comments and valuable suggestions, which helped to improve the paper significantly.

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Authors and Affiliations

  1. School of Science, Wuhan University of Technology, Wuhan, 430070, China

    Guang Ling, Yu-Han Tong & Qingju Fan

  2. School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, 430074, China

    Ming-Feng Ge

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  1. Guang Ling
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Correspondence to Ming-Feng Ge.

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This work was partially supported by the National Natural Science Foundation of China under Grants 61503282 and 62073301, the Natural Science Foundation of Hubei Province of China under Grant 2019CFB559, the Fundamental Research Funds for the Central Universities (WUT: 2019IB012, 2020IB003).

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Ling, G., Ge, MF., Tong, YH. et al. Exponential Synchronization of Delayed Switching Genetic Oscillator Networks via Mode-Dependent Partial Impulsive Control. Neural Process Lett 53, 1845–1863 (2021). https://doi.org/10.1007/s11063-021-10488-9

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