Journal
IEEE TRANSACTIONS ON NANOBIOSCIENCE
Volume 18, Issue 2, Pages 128-135Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNB.2018.2887305
Keywords
Random genetic regulatory network (RGRNs); noise-to-state stability (NSS); globally asymptotic stability (GAS)
Funding
- National Science Foundation of China [61773235, 61703249, 61673197, 61601266]
- Natural Science Foundation of Shandong Province [ZR2017PF001, ZR2017MF045]
- Project of Shandong Province Higher Educational Science and Technology Program [J17KA079]
- National Key Research and Development Program of China [2017YFB0902802]
- Taishan Scholar Project of Shandong Province [TSQN20161033]
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This paper establishes the stability criteria for genetic regulatory networks with random disturbances. We assume the nonlinear feedback regulation function to satisfy the sector-like condition and the random perturbation to have a finite second-order moment. First, under the globally Lipschitz condition, the existence and uniqueness of solution to random genetic regulatory networks are considered by exploiting an iterative approximation method. Then, by feat of the random analysis method and matrix technique, sufficient conditions are given to guarantee the noise-to-state stability in mean and globally asymptotic stability in probability, respectively. At last, two simulation examples are exploited in order to verify the validity of the proposed theory.
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