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Understanding genetic regulatory networks (GRNs) and designing a controller requires access to all the states of the system. However, not all the states of GRN can be experimentally measured in… Click to show full abstract
Understanding genetic regulatory networks (GRNs) and designing a controller requires access to all the states of the system. However, not all the states of GRN can be experimentally measured in practice. Therefore, a state observer is necessary to estimate the unknown states from measured data. In this brief, we use M-matrix theory to design stable state observers for GRNs with mixed delays. Different from the linear matrix inequalities-based method, we formulate the state observer design as a feasible set problem which can be easily solved by some programming solvers with the optimization principle. The simulation results illustrate the effectiveness of our design approach.
Journal Title: IEEE Transactions on Circuits and Systems II: Express Briefs
Year Published: 2018
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