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State Observer for Delay-coupled Genetic Regulatory Networks with Two Central Modes

Minde Yan, Xian Zhang*, and Yantao Wang*
International Journal of Control, Automation, and Systems, vol. 20, no. 12, pp.3849-3858, 2022

Abstract : 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.

Keyword : "Central modes, genetic regulatory networks, Lyapunov-Krasovskii functional, state observer, time delays. "

 
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