Stability of fuzzy dynamical systems based on quasi-level-wise system

摘要

In this article, we have proposed a new approach on the stability of a fuzzy dynamical system (FDS). Initially, we tried interval mathematics on FDS to check the stability. But when the interval mathematics fails, we have applied the quasi-level-wise system using the operators "e" and "g" and it appears that, this is the best technique to convert the unstable FDS to stable systems. Finally, the said technique is applied on different kinds of FDS and respective numerical results are presented in tabular and graphical form.