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Passivity-based control and asymptotic synchronization for multi-variable discrete stochastic genetic regulatory networks with complex network dynamics

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Abstract

By constructing a suitable feedback controller, passivity-based control and asymptotic synchronization frames of a type of stochastic genetic regulatory networks (GRNs) with discrete time and space are newly formulated. Via several significant inequalities for sequences (e.g., Wirtinger’s inequality, \(C_2\) inequality, etc.) and stochastic Lyapunov–Krasovskii functional, a boundary controller for passivity-based control and synchronize the GRNs by solving several crucial linear matrix inequalities. Owing to the consideration of spatial variables, the feedback controller can be designed on the boundary and does not exist in the model of the networks. The main results of this article display that the boundary feedback controller can realize the passivity-based control and asymptotic synchronization more easily than the traditional controller in the model of the discrete-time networks.

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Authors and Affiliations

  1. Applied Technology College of Soochow University, Suzhou, 215325, China

    Shaobin Rao & Xiaojun Lv

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  1. Shaobin Rao
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  2. Xiaojun Lv
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Correspondence to Shaobin Rao.

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Rao, S., Lv, X. Passivity-based control and asymptotic synchronization for multi-variable discrete stochastic genetic regulatory networks with complex network dynamics. Eur. Phys. J. Plus 139, 76 (2024). https://doi.org/10.1140/epjp/s13360-024-04860-6

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