Impulsive State Feedback Control of the Rhizosphere Microbial Degradation in the Wetland Plant

Abstract EN

The rhizosphere microbe plays an important role in removing the pollutant generated from industrialand 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 feedbackcontrol.

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 impulsivecontrol system tends to an order-1 periodic solution or order-2 periodic solution if the control measuresare achieved during the process of the microbial degradation.

Furthermore, mathematical results arejustified by some numerical simulations.