Abstract
We have demonstrated an entropy control method for time-dependent stochastic processes given by Gompertz model. To obtain the entropy of Gompertzian stochastic processes, Fokker–Planck equation was solved and related probability density functions were calculated. We justified that the calculated entropy based on Gompertz model merged to a finite value and the proposed entropy controller can guarantee the close-loop system stability. The desired control algorithm was successfully applied to a real case study where the control signal represents the tumor regression rate due to the drug therapy. We have shown that our control signal reduces the entropy of cancer cells. Our numerical results show the effectiveness and efficient of the control method.
Published Version
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