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Exponential stability of genetic regulatory networks with mixed delays by periodically intermittent control

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Abstract

This paper investigates the exponential stability for a class of mixed delayed genetic regulatory networks by periodically intermittent control, mixed delays here include time-varying delays and finite distributed delays. Some sufficient criteria for exponential stabilization are derived by using mathematical induction methods and the analysis techniques. Finally, an example is presented to demonstrate the effectiveness of the theoretical results.

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Acknowledgments

This work was supported by the National Natural Science Foundation of P.R. China (60764003), the Natural Science Foundation of Xinjiang (2010211A07), and the Scientific Research Programmes of Colleges in Xinjiang (XJEDU2007G01).

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, 830046, Urumqi, People’s Republic of China

    Yang Liu & Haijun Jiang

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  1. Yang Liu
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  2. Haijun Jiang
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Correspondence to Haijun Jiang.

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Liu, Y., Jiang, H. Exponential stability of genetic regulatory networks with mixed delays by periodically intermittent control. Neural Comput & Applic 21, 1263–1269 (2012). https://doi.org/10.1007/s00521-011-0551-4

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