Journal
IEEE TRANSACTIONS ON NANOBIOSCIENCE
Volume 17, Issue 2, Pages 145-154Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNB.2018.2797124
Keywords
State estimation; genetic regulatory networks; time-varying delays; stochastic noises; Round-Robin protocols
Funding
- Research Fund for the Taishan Scholar Project of Shandong Province of China
- Royal Society of the U.K.
- National Natural Science Foundation of China [61673356]
- Hubei Provincial Natural Science Foundation of China [2015CFA010]
- 111 Project of China [B17040]
- Alexander von Humboldt Foundation of Germany
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This paper investigates the problem of state estimation for discrete time-delayed genetic regulatory networks with stochastic process noises and bounded exogenous disturbances under the Round-Robin (RR) protocols. The network measurement outputs obtained by two groups of sensors are transmitted to two remote subestimators via two independent communication channels, respectively. To lighten the communication loads of the networks and reduce the occurrence rate of data collisions, two RR protocols are utilized to orchestrate the transmission orders of sensor nodes in two groups, respectively. The error dynamics of the state estimation is governed by a switched system with periodic switching parameters. By constructing a transmission-order-dependent Lyapunov-like functional and utilizing the up-to-date discrete Wirtinger-based inequality together with the reciprocally convex approach, sufficient conditions are established to guarantee the exponentially ultimate boundedness of the estimation error dynamics in mean square with a prescribed upper bound on the decay rate. An asymptotic upper bound of the outputs of the estimation errors in mean square is derived and the estimator parameters are then obtained by minimizing such an upper bound subject to linear matrix inequality constraints. The repressilator model is utilized to illustrate the effectiveness of the designed estimator.
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