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.
Keywords
Genetic regulatory networks (GRNs) Exponential stability Mixed delays Periodically intermittent controlNotes
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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