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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1002/macp.1978.021790713

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1573-269X

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Robust state estimation for discretetime genetic

Authors: R Sakthivel K Mathiyalagan S Lakshmanan Ju H Park
Publish Date: 2013/09/11
Volume: 74, Issue: 4, Pages: 1297-1315
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Abstract

In this paper we investigate the problem of robust state estimator design for a class of uncertain discretetime genetic regulatory networks GRNs with time varying delays and randomly occurring uncertainties By introducing a new discretized Lyapunov–Krasovskii functional together with a freeweighting matrix technique first we derive a set of sufficient conditions for the existence of global asymptotic state estimator for the discretetime GRN model with time delays satisfying both the lower and the upper bound of the interval timevarying delay Further the obtained results are extended to deal the robust state estimator design for the discretetime GRN model in the presence of randomly occurring uncertainties which obey certain mutually uncorrelated Bernoulli distributed white noise sequences The proposed criterions are established in terms of linear matrix inequalities LMIs which can be easily solved via Matlab LMI toolbox Finally the robust state estimator design has been implemented in a gene network model to illustrate the applicability and usefulness of the obtained theory

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