Impulsive state feedback control of the rhizosphere microbial degradation in the wetland plant (Q1723426)
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scientific article; zbMATH DE number 7025425
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Impulsive state feedback control of the rhizosphere microbial degradation in the wetland plant |
scientific article; zbMATH DE number 7025425 |
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Impulsive state feedback control of the rhizosphere microbial degradation in the wetland plant (English)
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19 February 2019
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Summary: The rhizosphere microbe plays an important role in removing the pollutant generated from industrial and agricultural production. To investigate the dynamics of the microbial degradation, a nonlinear mathematical model of the rhizosphere microbial degradation is proposed based on impulsive state feedback control. The sufficient conditions for existence of the positive order-1 or order-2 periodic solution are obtained by using the geometrical theory of the semicontinuous dynamical system. We show the impulsive control system tends to an order-1 periodic solution or order-2 periodic solution if the control measures are achieved during the process of the microbial degradation. Furthermore, mathematical results are justified by some numerical simulations.
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