LAUSR

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.