Fuzzy Coefficient of Impulsive Intensity in a Nonlinear Impulsive Control System

摘要

Many works on impulsive control theory have considered some constant coefficient of impulsive intensity which, in reality, is not the case. Then, in the recent time, a model in which the coefficient of the impulsive intensity was assumed not to be certain but some \(J\le \beta I\) was proposed. Unfortunately, this was also for some fixed \(\beta \). Hence, the result of this model can only give information about that particular \(\beta \). In actual sense, errors are not fixed as suggested by this recent model but vary under different circumstances. Hence, in this work, a model for infinitely many such (fuzzy) coefficients of impulsive intensity was presented and its effectiveness was demonstrated with some numerical illustrations. This idea tends to give a generalisation of the existing models. The model achieves control in less time than the aforementioned recent model.