Impulsive State Feedback Control of the Rhizosphere Microbial Degradation in the Wetland Plant
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 feed...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/612354 |
| 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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| ISSN: | 1026-0226 1607-887X |