THE COMPARISON OF SHEAF-SOLUTIONS IN FUZZY CONTROL PROBLEM

Abstract

In [2] the author considered the Sheaf-Optimal Control Problem (SOCP) by differential equations: (dx(t))/dt=f(t,x(t),u(t)), where xo  Q  Rn, u URP, t[0,T]R+, and sheaf of solutions: Ht,u= {x(t) = x(t,xo, u(t))|xo  H0 Q, tI = [0,T]  R+, u(t)  U} with the goal function I(u)  min. In [5], we have offered the neccesary conditions of Sheaf-Optimal Control Problem in Fyzzy type (SOFCP), that means the controls u(t)  U  EP not belong to RP. This paper shows some comparison of sheaf-solutions Hi,u and Ht,ū for many kinds of fuzzy controls u(t), ū(t)  U  EP in Sheaf Fuzzy Control Problem (SFCP)