Delay-Probability-Distribution-Dependent Stability of Uncertain Stochastic Genetic Regulatory Networks with Time-Varying Delays

@article{Rakkiyappan2013DelayProbabilityDistributionDe,
  title={Delay-Probability-Distribution-Dependent Stability of Uncertain Stochastic Genetic Regulatory Networks with Time-Varying Delays},
  author={R. Rakkiyappan and Shanmugam Lakshmanan and Pagavathigounder Balasubramaniam},
  journal={CSSP},
  year={2013},
  volume={32},
  pages={1147-1177}
}
This paper investigates the delay-probability-distribution-dependent stability problem of uncertain stochastic genetic regulatory networks (SGRNs) with time-varying delays. The information of the probability distribution of the time-delay is considered and transformed into parameter matrices of the transferred SGRNs model. Based on the Lyapunov–Krasovskii functional and a stochastic analysis approach, a delay-probability-distribution-dependent sufficient condition is obtained in the linear… CONTINUE READING
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