Mixed H∞/l2−l∞ state estimation for switched genetic regulatory networks subject to packet dropouts: A persistent dwell-time switching mechanism

Zhengguo Huang, Jianwei Xia, Jing Wang, Yunliang Wei, Zhen Wang and Jian Wang

Applied Mathematics and Computation, 2019, vol. 355, issue C, 198-212

Abstract: In this work, a kind of switched gene regulatory networks with packet dropout and uncertainties are constructed by switched coupled nonlinear difference equations. In comparison, a more comprehensive switching regulation, persistent dwell-time, is employed to it. The aim is to construct a mixed mode-dependent and mode-independent estimator for the before-mentioned gene regulatory networks with a view to the loss of system modal information. Thereafter, the augmented system is established. After that, the sufficient conditions of the exponential stability and mixed H∞/l2−l∞ performance for the augmented system are deduced by the switching Lyapunov theory. Finally, a numerical example is employed to elucidate the validity of the estimator gains decoupled by the congruent transformation.

Keywords: Uncertain gene regulatory networks; Switched coupled nonlinear difference equations; Mixed H∞/l2−l∞ estimator; Persistent dwell-time (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:355:y:2019:i:c:p:198-212

DOI: 10.1016/j.amc.2019.02.081

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