On the stability of fuzzy dynamical systems

In this work we study the asymptotic behavior of fuzzy solutions obtained by using Zadeh’s extension at the deterministic solutions of initial value problems. We obtain some result regarding the existence of fuzzy equilibrium points that generalize the already known results. As show earlier, the membership function of the fuzzy equilibrium points may be obtained in a relatively simple way. Also, we study the projection of the fuzzy solution on the appropriate subspaces of the phase space. Various examples are given to illustrate the obtained results.