International Journal of Control, Automation and Systems 2022; 20(12): 3849-3858
Published online November 3, 2022
https://doi.org/10.1007/s12555-021-0872-8
© The International Journal of Control, Automation, and Systems
This article designs the state observer of the delay-coupled genetic regulation network with two central modes. The coupling network consists of two central hubs which directly promote or inhibit each other. The state of system is estimated via the measurement output. A Lyapunov–Krasovskii functional related to the structural characteristics of the genetic regulatory network is constructed to investigate the delay-dependent asymptotic stability criterion of the error system. The linear matrix inequality-based stability condition is first given. Then, the state observer of the studied network model is designed. An explainable example is demonstrated to verify the applicability of state observer of the delay-coupled genetic regulation network with two central modes.
Keywords Central modes, genetic regulatory networks, Lyapunov-Krasovskii functional, state observer, time delays.
International Journal of Control, Automation and Systems 2022; 20(12): 3849-3858
Published online December 1, 2022 https://doi.org/10.1007/s12555-021-0872-8
Copyright © The International Journal of Control, Automation, and Systems.
Minde Yan, Xian Zhang*, and Yantao Wang*
Heilongjiang University
This article designs the state observer of the delay-coupled genetic regulation network with two central modes. The coupling network consists of two central hubs which directly promote or inhibit each other. The state of system is estimated via the measurement output. A Lyapunov–Krasovskii functional related to the structural characteristics of the genetic regulatory network is constructed to investigate the delay-dependent asymptotic stability criterion of the error system. The linear matrix inequality-based stability condition is first given. Then, the state observer of the studied network model is designed. An explainable example is demonstrated to verify the applicability of state observer of the delay-coupled genetic regulation network with two central modes.
Keywords: Central modes, genetic regulatory networks, Lyapunov-Krasovskii functional, state observer, time delays.
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